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Mathematics Questions and Answers October 11, 2021

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A subword is a sequence of consecutive letters inside another word. For example, BA is a subword of BABA and of ABBA, but BB is only a subword of ABBA. The number of ways to arrange the letters in a word of length n with distinct letters is n! = 1\times 2\times ...\times n. By convention, we write 0! = 1 More generally, suppose a word of length n

Calculating Principal, rate, and Time Philip wants to supplement his pension by $2000 per month with income from his investments. His investments pay him monthly and earn 6% p.a. What value of investments must Philip have in his portfolio to generate enough interest to give him his desired income? What is the amount to which $7,250.00 will grow at

When ____ processes are used in math question, girls outperform boys. When ___ abilities are used, boys outperform girls. Group of answer choices quantitative/qualitative qualitative/verbal verbal/spatial-visual spatial-visual/quantitative

Given the ordinary laws of statistics, incredible coincidences are... Question 10 options: evidence of the paranormal impossible always evidence of causal connections common and must occur

Kelly Melford and her team are working on redesigning a client's home. Instructions for Problem 3: Kelly Melford (10 Points) Based on the information below, prepare a comprehensive report that includes the following: 1. Normal completion time and accelerated completion time 2. Steps that can be taken to crash the project to the shortest time at
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You want to determine whether "noise" makes a difference in college students' ability to memorize new information. You randomly divide 16 college sophomores into two groups with eight participants each. The participants in both groups are asked to memorize a list of 20 nonsense syllables (such as "TSG", "JMB", and so on) during a five-minute study

HELP! Can you help me and give some ideas and how to organize this presentation? You are the Corporate Director for Universal Medical Supplies, Inc. You have been asked to present at an upcoming business leadership conference. The presentation will cover Critical Thinking for Challenges in Communication in the Workplace, related to specific

Question on Tess of the d'Urbervilles:Tess and the Dead and Dying Birds: Remember the context. She flees a crude and aggressive man, spends the night hiding in a copse of trees, and wakes up to find herself surrounded by dead and dying birds. What connection(s) does Hardy make between Tess and the birds? Does Tess also see connections between
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Convert each of the following. Show the steps. a. 23eight to base ten b. 23 to base six

A newspaper account of a medical study claimed the daughters of women who smoked during pregnancy were more likely to smoke themselves. The researchers surveyed teenagers, asking them whether they had smoked in the last year and then asking the mother whether she had smoked during pregnancy. Only 4% of the daughters of mothers who did not smoke

what are the steps to answering this question? The scores on a psychology exam were normally distributed with a mean of 67 and a standard deviation of 9. A failing grade on the exam was anything 2 or more standard deviations below the mean. A.what was the cutoff for a failing score? B.approximately what percentage of the students failed?

Data was collected about various students. Part of this data can be seen in the table. What types of variables are Gender and Age? Gender Age (in years) F 18 M 23 M 29 M 31 F 39 1 point Gender and Age are both numerical. Gender is categorical and Age is numerical. Gender is binary and Age is categorical. Gender and Age are both categorical

with work shown if possible the 11-8 to Solve Real-World Problems If $1000 is in vested at an interest rate of 6% for two years and is compounded continuously, how much money will be in the account? If $2500 is invested for 20 years at 12% interest and is compounded quarterly, how much money will be in the account? If the demand
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Three departments have 12, 15, and 18 members, respectively.If each department selects a delegate and an alternate to represent the department at a conference, how many ways can this be done?

Please show all work except for T/F transformation, then 1 Is also offto. -4 4 22 3. Consider the matrices A = 0 1 3 and B = HON 0 = -2 0 -2 (a) (15pt) Write the linear system associated to the equation Ax = b as equations in variables X1, 12, . . . and express the solution x in parametric vector form. (b) (10pt) Are the columns of B linearly
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Brief description or the use or empirically researched substance use disorder treatment interventions
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4. [0/1 Points] DETAILS PREVIOUS ANSWERS LARAPCALC10 1.6.027. Consider the following. See Examples 1, 2, 3, 4, and 5. f(x ) = -5x +6, -1exs1 1 3 a = Need Help? Read It Watch It Submit Answer 10. [-/1 Points] DETAILS LARAPCALC10 1.6.061. Environmental Cost The cost C (in millions of dollars) of removing x percent of the pollutants emitted from the
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How do I approach this question? 28. [H] A genetic experiment on cell division can give rise to at most 211 cells. The probability distribution of the number of cells X recorded is 6"\"(l 9) P(X=k)=1_9T+1 for 0$k$2n, where 0 is a constant with 0
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line 1= [0-2t, 10+4t, 18+8t], line 2=[17+7s, -6-5s, 8+s]. Find the point of intersection Two lines are given below: 0- 2t Line 1 = 10 + 4t 18 + 8t 17 + 78 Line 2 = -6 - 5s The 2 lines intersect at one point. Fine the point of intersection and enter it below in form such as (5, -11, 19). The point of intersection is
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I need help Question 17 (1 point) Suppose that a researcher studying the weight of female college athletes wants to predict the weights based on height, measured in inches, the percentage of body fat of an athlete, and age. The researcher calculates the regression equation as (weight) = 3.805*(height) + 1.483*(percent body fat) - 0.814*(age) -
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7. Stress. The table below shows the relationship between a stress test score and the diastolic blood pressure for 8 patients. A linear regression model for this data is y=0.56x+41.71, where x represents the stress test score, and y represents the blood pressure. Stress Test Score, x 55 62 58 78 92 88 75 80 Blood Pressure, y 70 85 72 85 96 90 82
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Find eigenvalues with corresponding multiplicities for the matrix 0 L
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y = 3.978 x = 2.379 y 2 = 17.80972 x 2 = 5.84361 xy = 9.99741 the correlation co-efficient between X and Y i got answer as Rxy = 0.883 is this correct? 0 = 2.9242 and 1 = 2.9013 i am having problem with the standard errors for 0 and 1? i got result as (1) standard error for 0 is 1.3167 (2) standard error for 1 is 0.5447 could you please clarify me

created your line. 2. On the diagram below, draw a line that passes through point C and is parallel to AB . Explain how you well when drawing - 8 12 fc 3. If the line you drew in #2 was extended, would it A eventually pass through the point E(18, -8) ? Explain how you determined your yeso
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A stack emitting 65 g/s of SO2 has an effective stack height of 220 m. The windspeed is 5 m/s at 10 m above ground and 8 m/s at the effective smokestack height. It is a cloudy summer day. Estimate the ground-level SO, concentration directly downwind at a distance of 0.75 km. Atmospheric Stability Classification Daytime insolation Night-time
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You and your friend are playing tic-tac-toe. You win the game. If you win in the shortest possible number of moves, how many squares will be left unmarked by an X or an O?

What's the answer to this question \f
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1.****screen shot of data**** Average Ballpark Attendance (Ho TOTAL PAYROLL Number of Wins 2015 2019 5 Team 2015 2019 % Change 2015 2019 %CHANGE W's L's W-L % W's L's W-L % %CHANGE Team 6 ANGELS 37,194 37,374 0.48% $151,348,162 ########## 5.81% 85 72 0.541 65 75 0.464 14.24% ANGELS ATHLETICS 21,829 20,174 -7.58% $80,376,830 $93,383,682 16.18% 68
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all T-Mobile 6:39 AM 56% Expert Q&A Done STUDYBLUE | Find and share . X Get Homework Help With C. X Question 14 Tristan And Lish / X C 2716 . Question 10 A Maru @ @ A https://www.myoperamath.com/assess2//cid :GABBAaid:51506158/full Question 11 A survey of 1700 workers and retirees in the United States of age 25 years and older conducted by
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To test a hypothesis, scientists must... Question 32 options: derive a test implication from the hypothesis not reason deductively accurately predict the outcome of tests ignore test implications of the hypothesis

Why is statistic important to the society? Give examples to buttress your points

heres some practice probs i need help with A crate is supported by three cables as shown. Determine the weight W of the crate, knowing that the tension in cable AD is 924 lb. C 28 in. 18 in. O D 24 in. B 26 in. 45 in.Assuming the weight of the crate is 50 N, what is the projection of that force along cable AD
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Show that the functions k() = 12 eik are eigenfunctions of Lz . What are the corresponding eigenvalues

P= 18 4 ft 8 ft Two similar trapezoids are shown above. If the perimeter of the small trapezoid is 30 feet, describe the effect on the perimeter of the large trapezoid. O a The perimeter remains the same as the original. Ob The perimeter will be 1/2 the size of the original. O C The perimeter will be 2 times the size of the original. O d The
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Margot moved from Earth to Venus. How can major changes in people's lives affect their views and the way they think about the world? Discuss a time when you were influenced by a major change in your life
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1. The table to the right shows four states, their 2010 populations, and their number of seats in a particular branch of government, which has a total of 376 seats. For state State Population Seats B, find the standard quota. Use the value 302 million for the total population. Explain whether each state is relatively under- or overrepresented in
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Lab (Final project setup) here you will apply your functions to find and measure fluxes for stars to a set of images

Compute the least-squares regression line for the given data set. of x 2 3 4 5 6 7 y 3.4 -1.7 -3 -4.3 -10.9 -13.9 Select one: O a. y = 3.46x + 3.4 O b. y = 9.77x - 3.30 O c. y =-3.30x +9.77 O d. y = 3.46x + 9.77
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26. This closed gutter runs for 11 m along one side of the roof on Jake's house. 0.089 m 0.14 m 11 m 0. 125 m NOT TO SCALE What is the approximate volume of the gutter? (A) 0.0143 m3 (B) 0.0171 m3 (C) 0.157 m3 (D) 0. 165 m3
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How did this theme cause the American Revolution
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4.) You think you need $1.5 million and your retirement advisor thinks you will average 6% a year on your account. How much will you need to contribute a year to your account if you have 40 years to your retirement
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Differentiate: y = (sin x)x (sin x)x (ln(sin x) + cot x) ln(sin x) + x cot x (sin x) (ln(sin x) + cot x) (sin x)x (ln(sin x) + x cot x)

Three experiments investigating the relation between need for cognitive closure and persuasion were performed. Part of the study involved administering a "need for closure scale" to a group of students enrolled in an introductory psychology course. The "need for closure scale" has scores ranging from 101 to 201. For the65students in the highest

both answers with work shown The current in a circuit is a function of time according to i = 6 - 6e-0.03t, where t is in seconds. At what time will the current have a value of 3 amps? Of isla stol moibit to in. outs 10 = \\ IL sigmea fanigno and) hi ers moth doum work su The population of a city is given by y = 140,000e0.021. If t = 0 corresponds
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3. Consider the transformation T : R3 > R3 given by m 22 T y = 3m 2 y 2x (A) [5 points] Show is T is a linear transformation. (B) [5 points] Find the matrix of transformation with respect to the standard basis of R3. 4. Answer the following questions (A) [5 points] Let 21 = 2 + 32' and 22 = 4 22'. Find 421 2'22 + 3, z1z2, and . Z2 (B) [5 points]
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Why do you think statistics is important to the society? Give examples to buttress your points

an amount of $18000 is borrowed for 8 years at 6.5% interest, compounded annually. if the loan is paid in full at the end of that period, how much must be paid back

Given the following stem and leaf plot, determine the smallest value in the data set. Frequency Stem Leaf 2 1 9 9 3 2 6 7 7 9 3 0 2 2 2 2 5 7 8 9 9 7 4 0 6 6 7 7 8 8 12 5 2 2 3 4 4 4 5 5 6 7 8 8 9 6 0 0 0 0 1 1 3 5 7 0 7 2 8 17 45

For the following problem, use the appropriate appendix table or technology. The ability to jump helps salamanders move quickly to avoid predators. A paper investigated jumping behavior of 10 species of salamanders and reported the following data on bend angle (the bend [in degrees] in the salamander body, with a larger number reflecting more
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below with work ul ufle account after 3 years? Forb situob of 5 If the demand equation for a product is given by p(x) = 1280(0.93).*, find the price when the demand is x = 40 units
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please answer all and according to sections (6 points) Let f(x) = 2x x2 - 16 Answer the following questions and use your answers to sketch the function. Enter 'N' if no such values exist. List the x-values of any x-intercepts of f: Give the y-value of the y-intercept of f: List the *-values of any vertical asymptotes of f: Evaluate the following
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The frequency table for two distributions are as follows: Distribution A 35 90 55 25 59 60 55 48 Distribution B 40 56 40 65 75 92 28 70 Make a comparison of the above distributions and comment on the differences based on the followingstatistics: i)inter-quartile range ii)mean, mode, median iii)coefficient of variation

What will be all the measurement because I am having a hard time understanding it m41 = m42 = m43 = 1150 m44 = m25 = m46 = m47 = m48 = m N m49 = m410 = OO pll q mlin
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A public school board is worried about the quality of its science education, so the principal elects to investigate. She takes a random sample of 120 students and asks them "Do you believe that Earth is a planet?" 75 of them said yes. She calculated a 99% confidence interval: (0.511, 0.739). a) For the following conditions, decide which are

construct a 90% confidence interval for the mean number of books people read and interpret the result A survey was conducted that asked 1070 people how many books they had read in the past year. Results indicated that x= 13.3 books and s = 17.6 books. Construct a 90% confidence interval for the mean number of books people read. Interpret the
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How is the maximum entropy distribution found in maximum entropy without explicit constraints? Select one: a. By minimizing the error between the model and the data b. By fitting the data to a specific distribution c. By maximizing the likelihood function d. By maximizing the Shannon entropy of the distribution

Been practicing but always got it wrong. Using the following two points, create a linear equation in standard and slope-intercept forms. (7,10), (-8,0) Note: Either point can be used to create the equations. Both equations should be entered in simplest form. Round your answers to two decimal places if necessary. X + +
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Problem 3: Probability Grading: 0.25 pts in total for this section + 0.15 extra VeV Number of Tracks % of All Tracks on Spotify Taylor Swift 15 7.85% Fearless (Taylor's Version) 26 13.61% Speak Now 17 8.90% Red (Taylor's Version) 30 15.71% 1989 16 8.38% reputation 15 7.85% Lover 18 9.42% folklore 17 8.90% evermore 17 8.90% Midnights 20 10.47%
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It took 2/3 of a gallon of paint to paint one wall. How much paint will it take for 1/4 the wall? Use: a) A table. b) A strip diagram (math diagram). c) A double number line. d) An explanation in your own words why it makes sense to solve the word problem solving 2/3 1/4 by "inverting and multiplying

Explore non-linear regression. Determine a possible data set that would most likely not have a linear relationship, but would have a non-linear relationship. Discuss the type of data (find and present an actual example) and the relationship that the data would have. Also discuss why you think it would have this type of relationship 2.Discuss the

Question 6 (6 points) 9 yd 3 yd Two similar parallelograms are shown above. The area of the larger parallelogram is 135 square yards. Describe the effect on the area of the small parallelogram after the change in dimensions. O a The area will be 1/3 the size of the original area. Ob The area will be 1/9 the size of the original area. O C The area
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2. Recent graduate and world traveler Alastair Bor is planning a European trip. He is influenced by his curiosity about urban culture in the EU and by his study of international relations while he was in school. Accordingly, he has decided to make one stop in each of twelve European capitals in the time he has available. The distances between the
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Dr. Froome is interested in whether students prefer to send text messages or traditional emails. In the experiment, students are given 10 messages to send to a person in another room; the researchers record the proportion of times the students use a text message instead of an email. (For example, a student who sends 6 text messages would score

A researcher collected sample data for 9 women ages 18 to 24. The sample had a mean serum cholesterol level (measured in mg/100 mL) of 192.8, with a standard deviation of 9. Assuming that serum cholesterol levels for women ages 18 to 24 are normally distributed, find a 90% confidence interval for the mean serum cholesterol level of all women in

a) Consider a multiple regression model = 11+22, = 1,2,3,....,. Find the least square estimates of parameters and their standard deviation. b) Suppose that be a random variable having standard normal probability function. Show that random variable Y = Z12 + Z2 + + Z2 follows a chi-square distribution with k degree of freedom.

Identify the form of the following equation. y=-58 Group of answer choices Slope-Intercept Form for a Linear Equation Expanded Form for a Circle Equation Point-Slope Form for a Linear Equation Standard Form for a Circle Equation Standard Form for a Linear Equation

Given two data sets, apply the hypothesis testing as a pararmetric analysis technique; Given two data sets, apply hypothesis testing as a parametric analysis technique Question 1 of 10. From these data sets: ECDF D Region TCDF Program 0. 108 0.1 0.008 DOD 9 East East 0.138 0.2 0.062 DOD 6 East 0.209 0.3 0.09 DOD 10 0.302 DOD 2 East 0.701 0.4 DOD
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To what extent does learning more than one language facilitate early communication skills? Fan et al. (2015) examined this issue by recruiting students from the Chicago area who were monolingual, exposed to a second language but not fluent, or fully bilingual. All participants were asked to finish a language task in which they identified objects
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Question: y = 3.978 x = 2.379 y 2 = 17.80972 x 2 = 5.84361 xy = 9.99741 the correlation co-efficient between X and Y i got answer as Rxy = 0.883 is this correct? 0 = 2.9242 and 1 = 2.9013 i am having problem with the standard errors for 0 and 1? i got result as (1) standard error for 0 is 1.3167 (2) standard error for 1 is 0.5447 could you please

The inverse of ( 1 0 1 0 1 1 1 1 1 ) 1 0 1 0 1 1 1 1 1 is 1 point ( 0 1 1 1 0 1 1 1 1 ) 0 1 1 1 0 1 1 1 1 ( 0 1 1 1 0 1 1 1 1 ) 0 1 1 1 0 1 1 1 1 ( 0 1 1 1 0 1 1 1 1 ) 0 1 1 1 0 1 1 1 1 ( 0 1 1 1 0 1 1 1 1 ) 0 1 1 1 0 1 1 1 1

4. [7 points] Let the random variable X have distribution function ff_x}=w._ sen g e (a) |2 points] Compute E[X]. (b) [2 points] Compute var(X ). (c) [3 points] Compute E[3X?2 2X + 4] and var(2X + 4) 5. [9 points] Let X be a random variable such that PX=1)=pand P(X =-1)=1-p. Let be a random variable which is independent of X and with the same
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Suppose there are n rms that simultaneously and independently select their prices p1; p2; ::::; pn in a market. These prices are greater than or equal to zero. The lowest price oered in the market is dened as p=min{p 1, p 2,..., p n }. Consumers observe these prices and purchase only from the rm (or rms) charging pmin, according to the demand

The undergraduate advisors in the COB recommend that all students take MGT 2217 the semester after completing MGT 2216. 10% of all COB students completed MGT 2216 in the fall of 2019 and of those students, 80% of them signed up for MGT 2217 in the spring of 2020. A COB student is randomly selected, calculate the following probabilities: a. The

GreenLawns provides a lawn fertilizing and weed control service. The company is adding a special aeration treatment as a low-cost extra service option, which it hopes will help attract new customers. Management is planning to promote this new service in two media: radio and direct-mail advertising. A media budget of $4,000 is available for this
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Questions Answers What was the significance of the Soviet Union's invasion of Korea during World War II? Mao Zedong Made People's Republic of China a Communist A segregation ending policy in the US military allowed African Americans to serve in this war. Douglas MacArthur How did Joseph Mccarthy & the House of Un-American Activities Committee help
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Complete question is given in the attached image Consider the following dataset as given in Table II. TABLE II Features Class FEATURES CLASS a b C K O 1 O 0 1 O 0 0 O O O 0 a, b, and c are the features and K is the class (1/0). Classify the test instance given below into class 1/0 using a Naive Bayes classifier. a b c K O
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The random variable X has a semi-circular distribution, with the probability density function (p.d.f) f(x) given by: \f
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what is standard deviation of Y? Mean is 3 .8 .05 .1 .03 .02

a) b) C) d) e) f ) g) h ) vii. y = 2(x +1)" +2 a) b) C) d ) e) f) g) h ) 3 viii. y = _x - 6 2 a) b) C) e
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Question 1 (5 points) 2- 90 180 270 36 450 540 630 -2 Given the sinusoidal function, determine: the maximum value the minimum value the amplitude the equation of the sinusoidal axis (don't forget the y= ) the period (do not include the degrees symbol)
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4. Suppose V is an inner product space, with inner product (, .). (a) Prove that for any z, y E V, we have lla + yl|2 + |x -y|2 = 2|/x|2 + 2ly||2, where the norm is induced by the inner product. (b) Prove that for any z, y E V, (x, y) = = (1x + y|2 - |x|2 - lly||?)
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58 1. What is the slope and y-intercept of 4 = 2x + 37 2 . What is the slope and y-intercept of y - - 7x + 1? 3. What is the slope and y-intercept of y = =x? . 9. What is the slope and y-intercept of y + x =-2? 5 . Graph y = 7X - 3. 6. Graph 4 = - 3x + 7. 1. Graph y + 2x = 0. 8. Graph 34 = 9x - 6. 9 . Graph y = - 5. 10. Graph X = 6
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2 pts What percentage of the variance in obesity is due to genetics? Group of answer choices less than 25% 25% to 40% 40% to 60% 60% to 75%

The following table contains observed frequencies for a sample of 240. Test for independence of the row and column variables using ? = 0.05. (Round 4 decimal places) \f
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Use a graphing calculator or other technology to answer the X y question. 39 Which quadratic regression equation best fits the data set? 1 35 2 31 o y = 0.155x2 - 4.074x - 38.910 4 26 o y = 38.910x2 - 4.074 + 0.155 6 19 o y = 0.155x2 - 4.074x + 38.910 10 15 o y = 38.910x2 - 4.074 - 0.155 11 12
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Help me please. Summary How would you explain to someone the process of finding the volume of any prism or cylinder? For example how would you find the volume of this object? Submit
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Need 3 real life problems solving involving 1.) fractions, decimals, AND percent 2.) ratios 3.) proportions And show solution on how to solve them Need original

A survey was conducted to determine the percentage of people over the age of 55 who plan to remain in their current home when they retire. In the random sample of 500 adults, 350 of them revealed that they planned to remain in their current home. Does it appear that less than 75% of people over the age of 55 plan to remain in their current home

In a lotterygame, the jackpot is won by selecting five different whole numbers from 1 through 41 and getting the same five numbers(in anyorder) that are later drawn. In the Pick 3 game, you win a straight bet by selecting three digits(with repetitionallowed), each one from 0 to9, and getting the same three digits in the exact order they are later

The coordinates of the point of the way from A to B 10 are (Type an ordered pair.)\f
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Dr. Limona wants her population to be all people who are in therapy. Because she cannot list all the people in the world who are in therapy so she cannot randomly select participants, what type of sampling technique should she use? nonprobability systematic representative probability

A business has six customer service telephone lines. Consider the random variable x = number of lines in use at a randomly selected time. Suppose that the probability distribution of x is as follows. x 0 1 2 3 4 5 6 p(x) 0.05 0.15 0.20 0.30 0.20 0.07 0.03 (a) Consider the following questions. (i) Calculate the mean value of x . Enter a number. x=

There are two tennis courts. Pairs of players arrive at a rate of 3 per hour and play for an amount of time with mean 1 hour. A pair of players will wait for a mean amount of time of 30 minutes for their turn to play; otherwise, they will leave without playing. If there are already two pairs of players waiting new arrivals will leave. Assume that

1. Get a frequency count and percentage of each type of pragmatic act. Use the formula below to calculate the proportion of use for each category. total total (i for each category) Percentage= ( of CAI utterances Type of Utterance Total Frequency in Sample Percentage of Use Initiate Topic Maintain Topic Extend Topic Tangential Comment Total C & I
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. . . Question 1 Select the vocabulary word that matches the definition. the item in question that is expected to change from subject [ Choose ] 100 to subject BO the variable that causes change [ Choose ] 60 the variable that changes value 40 because of another variable [ Choose ] 20 something that is measurable [ Choose ] 20 40 60 80 10
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Answer the question Sean's iather decided that the number oi hours Sean should study daily is equal to the equation y+ To: = 14, where y is the number of study hours and m is the number of relaxation hours. Sean's mother believes that the number of hours Sean should study daily should be equal to the equation 23; + 5:: 2 4. Sean*s parents have
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1 . What are the degrees of freedom for sample variance in the following samples ? Hint : The degrees of freedom are located in the denominator of the sample variance formula a ) 1 = 50 b ) n = 10 ( ) 1 = 12 d ) 1 = 120 ( ) 1 = 75 2 . Suppose we select a sample of size 20 from the following populations . Given the following variances for each
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An individual in the United States wants to pay for tuition from a university in the United Kingdom that costs 1,600 pounds. If the exchange rate is $1.09, approximately how much will it cost in dollar terms? a. $2,144 b. $1,744 c. $1,790 d. Need more information

a. (-3,37) 29. Given the function f(x) = 2x2 + 3x - 5, what is its axis of symmetry? b. (2.37) c. (-4- 37) 30. Candy wants you to help her to find the discriminant and nature of the roots of the equation 6x2 = 4x - 10. What is the correct solution to this problem? a. 244; real, irrational, unequal b. -244; imaginary C. 100; real, rational, unequal
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3. |7 points] A gambler has in his pocket a fair coin and a two-headed coin (both sides are head). {a) |3 points] He selects one of the coins at random, and when he flips it, it shows heads. What is the probability that 1t 1s the fair coin? i(b) |2 points] Suppose that he flips the same coin a second time and again it shows heads. What is the
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