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Mathematics Questions and Answers February 28, 2023

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A group of people agree to share equally in the cost of a $250,000 endowment to a college. If they could find two more people to join the group, each person's share of the cost would decrease by $6250. How many people are presently in the group?

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Suppose X1 and X2 are random variables of the discrete type which have the joint pmf p(x1, x2)=(x1 + 2x2)/18, (x1, x2) = (1, 1),(1, 2),(2, 1),(2, 2), zero elsewhere. Determine the conditional mean and variance of X2, given X1 = x1, for x1 = 1 or 2. Also, compute E(3X1 2X2)

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A particle moves along a straight line and its position at timetis given bys(t)=2t^330t^2+126t, t0 wheresis measured in feet andtin seconds. (A) Useinterval notationto indicate the time interval or union of time intervals when the particle is moving forward and backward. Forward: Backward: (B) Useinterval notationto indicate the time interval(s)

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1 of 17 1.0 Points An investor wants to compare the risks associated with two different stocks. One way to measure the risk of a given stock is to measure the variation in the stocks daily price changes. In an effort to test the claim that the variance in the daily stock price changes for stock 1 is different from the variance in the daily stock

For a psychology experiment, Emma is assigned the task of finding the average number of hours U.S. college students sleep each night.Her results must be at the 95% level of confidence with a maximum margin of error of 0.35 hours. Assuming the standard deviation is 1.2 hours (based on a previous, reliable study), how many students must Emma survey?

If three fair coins are tossed, what is the probability of getting at least two heads? [1] 2/3 [2] 1/2 [3] 3/8 [4] 1/8

Company Ticker Years Yield GE 1 0.767 MS 1 1.816 WFC 1.25 0.797 TOTAL 1.75 1.378 TOTAL 3.25 1.748 GS 3.75 3.558 MS 4 4.413 JPM 4.25 2.31 C 4.75 3.332 RABOBK 4.75 2.805 TOTAL 5 2.069 MS 5 4.739 AXP 5 2.181 MTNA 5 4.366 BAC 5 3.699 VOD 5 1.855 SHBASS 5 2.861 AIG 5 3.452 HCN 7 4.184 MS 9.25 5.798 GS 9.25 5.365 GE 9.5 3.778 GS 9.75 5.367 C 9.75 4.414

With sample mean x = 12.5, sample size n = 40 and population standard deviation= 4 find 99% confidence interval for population mean. Use formula on page 312 with z /2 = 2.575 between 11.5 and 13.5 between 10.9 and 14.1 between 10.1 and 15.1 between 7.4 and 14.2

The following is a list of 10 measurements:-39,56,-22,86,25,28,-64,-78,-14,-76 Suppose that these 10 measurements are respectively labeled. (Thus,is labeled,is labeled, and so on.) 10 x1/8 E (Greek) I =1 Round your answer to at least two decimal places.

A 99% confidence interval (in inches) for the mean height of a population is 66.07

A man makes a simple discount note with a face value of $ 2,200, a term of 160 days, and and 18% discount rate . Find the discount ( use the bankers note ) Discount is $ Round to the nearest dollar as needed

(7) A truck with 48-inch wheels is traveling at 50 miles per hour. (a) Find the angular speed of the wheels in radians/minute. (b) How many revolutions per minute do the wheels make

celeste can walk 3 km in the same time that shecan ride a bicycle 8 km. her speed on a bicycle is 8 km/h more than her speed walking. find her speed walking and her speed on a bicycle.

At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, You can average $71 a day in tips. Assume the population of daily tips is normally distributed with a standard deviation of $4.48. Over the first 33 days she was employed at the restaurant, the mean daily amount of her tips was $73.33. At the 0.05

Abused Involved Prescription Used Illegal Student in Binge Gender Med. or Drugs Drinking Marijuana 1 NO 2 YES 3 NO 4 NO 5 NO 6 NO 7 NO 8 NO 9 NO 10 NO 11 NO 12 NO 13 NO 14 YES 15 NO 16 NO 17 NO 18 NO 19 NO 20 NO 21 NO 22 YES 23 NO 24 NO 25 YES 26 NO 27 NO 28 NO 29 NO 30 NO 31 NO 32 NO 33 NO 34 YES 35 YES 36 NO 37 NO 38 NO 39 NO NO YES NO NO NO NO

Customers arrive at a local ATM at an average rate of 19per hour. Assume the time between arrivals follows the exponential probability distribution. Determine the probability that the next customer will arrive in the following time frames. a) What is the probability that the next customer will arrive within the next 5minutes? b) What is the

List below are the ages in years of randomly selected race car drivers. Use a 0.05 significant level to test the claim that the mean age of all race car drivers is greater than 30 years. 32 32 33 33 41 29 38 32 33 23 27 45 52 29 25 List below are the ages in years of randomly selected race car drivers. Use a 0.05 significant level to test the

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MATH 140 LIMITED LOGISTIC GROWTH MODEL ACTIVITY Objective: Extend your understanding of the mathematical model for limited logistic growth, by generating graphs, describing model behavior for an application of the model with different scenarios of constrained growth and answering some analytical questions. Reference: Chapter 4, section 4.5 of

The y-intercept for a regression equation with the mean of y as 3.5, the mean of x as 2.8, and the slope of 2 is -2.11.42.20.7

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1. Name one reason why a predictor variable may be included in a multiple regressionmodel which is used for prediction, even if the variable is not statistically significant.(a) The sample size may be large enough to include the variable, regardless of significance.(b) Inclusion of the variable may be supported by economic theory.(c) Inclusion of

The table lists the smoking habits of a group of college students. SexNon-smoker Regular Smoker Heavy Smoker Total Man 135 46 5 186 Woman 187 21 11 219 Total 322 67 16 405 If a student is chosen at random, find the probability of getting someone who is a regular or heavy smoker. Round your answer to three decimal places. A) 0.205 B) 0.687 C) 0.239

7. The herbal supplement ginko biloba is advertised as producing an increase in physical strength and stamina. To test this claim, a sample of n = 36 adults is obtained and each person is instructed to take the regular daily dose of the herb for a period of 30 days. At the end of the 30-day period, each person is tested on a standard treadmill

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According to Cerulli Associates of Sydney, 30% of all CPA financial advisors have an average client size between $500,000 and $1 million. Thirty-four percent have an average client size between $1 million and $5 million. Suppose a complete list of all CPA financial advisors is available and 18 are randomly selected from that list. a.What is the

I need help with some calculus problems, it is only 5 questions and will attach the problems. Answers only thanks

A new drug is created to help people with depression. When testing the drug, what are the null and alternative hypotheses?

The administration of UMUC is concerned that a significant number of their students are not graduating in 4 years. One factor that may contribute to the low graduation rate after 4 years could be the number of students that change their majors after the first year at UMUC. A nationwide study found that about 50% of first year students at any

How do you do this R-code problem? Obtain an approximation to the t distribution by Monte Carlo simulation. To fix ideas, let n=10. Step S: Generate X1,...,Xn i.i.d. N(0,1) and compute the t-statistic: T = sqrt{n}* barX / hatSigma where barX is the sample mean and hatSigma the sample standard deviation, i.e., the square root of the sample

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there are a, b, and c part to these questions 1). 60 percent of households say they would feel secure if they had $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had $50,000 in savings. Find the probability that the number that say they would feel secure is (a) exactly five, (b) more than five,

MAT 510 - Homework Assignment Homework Assignment 8 Due in Week 9 and worth 30 points Suppose the number of equipment sales and service contracts that a store sold during the last six (6) months for treadmills and exercise bikes was as follows: Treadmill Exercise Bike Total sold 185 123 Service contracts 67 55 The store can only sell a service

Use the normal distribution of fish lengths for which the mean is9 inches and the standard deviation is5 inches. Assume the variable x is normally distributed. What percent of the fish are longer than 1 4 inches? If 5 0 0 fish are randomly selected, about how many would you expect to be shorter than 7 inches? (a) Approximately % of fish are longer

There is some evidence that, in the years, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v., pp..) Suppose that, to test the

1) . a) Given below. X 200 250 300 350 Frequen Probabili cy ty 40 0.4 30 0.3 20 0.2 10 0.1 b) Mean = 250 c) Variance = 2500 and standard deviation = 50 d) Higher standard deviation means higher variation and thus the demand will differ significantly so for Case 1 the goal is difficult to achieve. 2) . a) b) c) d) 0.02825 0.35039 0.99999 0.04735 3)

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a man bought 5 commodities with a total amount of 1000/= calculate the amount of each commodity if they where of same price

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Identify the type of sampling used in the following situation:Subscribers to the magazine Sound Alive were assigned numbers. Thirty numbers were selected at random. The subscribers with the chosen numbers were asked to rate a new compact disk player for a "What Subscribers Think" column. (Assume all chosen did respond) a)Simple Random Sample

what is the probability of winning, and what are the odds of winning rock -paper- scissors ? show work

A manufacturer of detergent claims that the contents of boxes sold weigh on average at most 24 ounces. The distribution of weight is known to be normal, with a standard deviation of 0.5 ounces. A random sample of 25 boxes yielded a sample mean weight of 23.41 ounces. Test at the 1% significance level the null hypothesis that the population mean

The height (in inches) of adult men in the United States is believed to be Normally Distributed with mean u. The average height of a random sample of 25 american adukt men is found to be x=69.72 inches, and the standard deviation of the 25 heights is found to be s=4.15. A 90% confidence interval for u is?

Econ 2123. Introduction to Econometrics Sections 80/83. Prof. Williams Homework 8 due Thursday April 9 You can work together with other students in the class to answer each of the following problems but you must write your assignments up separately. Q1. Angrist and Pischke have another more advanced book called Mostly Harmless Econometrics in

Your mayor just announced that the local unemployment rate dropped last month from the prior month. It went from 10.5% to 10.4%. Is this a significant drop? explain

Customers arrive at an automated coffee vending machine at a rate of 4 per minute, following a Poisson distribution. The coffee machine dispenses a cup of coffee in exactly 10 seconds. (a) What is the average number of people waiting in line? (b) What is the average number in the system? (c) How long does the average person wait in line before

a couple deposits $ 727 per month into an account paying 6% compounded monthly. If payments are made at the end of eachperiod, how much money will be in the account in 77 years?

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What is the probability of obtaining at least 6 events for a Poisson distribution with parameter = 4.0?

prove that -ln(1-x)

A certain appliance costs $700 when brand new. Its dollar value after t years of being used is given by the function v(t) = 100(23t 1), 0 t 3, and after 3 years the appliance is considered to be worth $0. The warranty on the appliance pays v(t) to the customer if the appliance breaks down within the first three years, and nothing if the appliance

An economist estimated a linear relationship between the daily consumption of electricity for a region in megawatt-hours and the maximum daily temperature in degrees Celsius using daily data for December 2004 and January and February 2005 (n = 90). If the sums of squares of regression and the standard error of the estimate were found to be970.98

Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 90% confidence; n = 480, x = 120

Of the drivers who stop at a gas station, 91% purchase gasoline, and 5% purchase both gasoline and oil. A total of 7% purchase oil. (a) What is the probability that a driver purchases oil, given that he or she purchases gasoline? Round your answer to 2 decimal places. (b) What is the probability that a driver purchases gasoline, given that he or

St. Louis FED data on tobacco expenditures and prices DTOBRX1A020NBEA CUUR0000SEGA expenditure simple average on price index 121.4 118.5 116.3 110.7 109.4 112.2 111.0 113.4 110.7 106.8 99.5 95.8 94.4 92.9 89.7 355.792 394.908 425.208 461.500 468.992 477.983 502.758 519.858 554.184 588.682 730.316 807.330 834.769 853.459 876.822 Year ln(Q) ln(P)

Suppose that the functionhis defined, for all real numbers, as follows h(x)= 1/2x-1 h(x)= -(x-1)^2+2 h(x)= 4 if x is less than or equal to -2 if -2 is less than x is less than 1 if x is greater than or equal to 1 Find h(-2), h(-1), and h(5)

A Geiger counter records background radiation at an average rate of 1/2 a hit per minute. Let T5 be the time in minutes of the 5th after the counter is switched on.Find P(3 T5 7).

The mean amount of money U.S. adults spend on food in a week is $151 and the standard deviation is $49. Random samples of size 50 are drawn from this population and the mean of each sample is determined. a.) Find the mean and standard deviation of the sampling distribution of sample means b.) What is the probability that the mean amount spent on

I need help with figuring out B) How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains gave the following weights (pounds): 65 110 135 121 60 64 Assume that the population of x values has an approximately normal distribution.(a) Use a calculator

1. Given below are the closing prices for the Dow Jones Industrial Average (DJIA) and the Standard & Poor's (S&P) 500 Index over 10 weeks. Dow Jones 10,421 10,110 9,862 10,475 9,920 10,592 11,213 10,933 11,134 10,316 S&P 500 1,379 1,356 1,343 1,410 1,389 1,463 1,529 1,499 1,516 1,355 Use the six steps of hypothesis to determine if the mean of Dow

The t value for a 95% confidence interval estimation with 24 degrees of freedom is

The hypothesis is that the mean IQ of the population is 100. A random sample of six IQs in this population resulted in the following values: 118, 105, 112, 119, 105, and 111. Using the .05 significance level, is it possible to conclude that the mean is different from 100? A)State the hypotheses. B)State the decision rule. C)Compute the test

For Normal distribution with mean 50 and standard deviation 10 find probability that x will be less than 35: P(x < 35).

Simple Linear Regression Analysis Linear regression is a statistical technique that analyzes whether two or more variables are related, as well as the predictive power of the underlying modeling framework. But linear regression requires that the research details both statistical assumptions and statistical limitations. For this question, respond

A lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab conducts. Prices for 100 rats follow the following distribution: Price: R10.00 R15.00 R17.50 Probability: 0.30 0.40 0.30 How much should the lab budget for next year's rat orders be, assuming this distribution does not change? R689 R741 R695 R782

Assume the weights of men are normally distributed with a mean of 170 lbs and a standard deviation of 30 lbs. Show all work. Just the answer, without supporting work, will receive no credit. (a) Find the 75th percentile for the distribution of men's weights. (b) What is the probability that a randomly selected man weighs more than 200 lbs?

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7. If you are randomly sampling one at a time without replacement from a bag that contains eight blue marbles, seven red marbles, and five green marbles, what is the probability of obtaining: A blue marble in one draw from the bag? Three blue marbles in three draws from the bag? A red, a green, and a blue marble in that order in three draws from

You work for a hospital that has a specialized center for obesity and weight management. Your boss assigns you the task of analyzing supposedly healthy breakfast cereals in the following data set:http://lib.stat.cmu.edu/DASL/Datafiles/Cereals.html. Examine and evaluate the data set for significant findings (e.g. mean, standard deviation,

A social psychologist conducts a study to test whether people who are anonymous will assign a lower than average rating to another individual's effectiveness. Explain what a Type I and Type II error would be in this study, and what each would mean. Be sure to state your answer in terms of the variables of this particular study.

hello, can you answer this from the choices below, thanks. What is the name of the variable that's used to predict another variable? Standard Error of the Estimate Coefficient of Determination Explanatory Response

1. Sales figures for each sales associate in a large company are calculated for the current year and last year. Last year, the average sales per associate was $500,000 and the average for this year is about the same. True or false and explain briefly: the regression effect says that the number of associates who sold over $1 million last year in

PSYC 355 SPSS CUMULATIVE ASSESSMENT INSTRUCTIONS The following research questions can be answered using 1 of the 5 tests you have learned so far: single-sample t-test, paired-samples t-test, independent-samples t-test, one-way ANOVA, or twoway ANOVA. Use the information in the tables to construct your SPSS data file, just as you have been doing in

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Molly Leonard MA 131, section 601, Fall 2016 Instructor: Brenda Burns WebAssign Applications: Exponential, Logarithmic Functions (Homework) Current Score : 11 / 14 Due : Tuesday, December 13 2016 11:13 PM EST 1. 3/3 points | Previous Answers The population of a town is growing according to the differential equation The growth constant, k, is equal

A ________________of prediction can occur for observed values not near the line of best-fit

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If the coefficient of determination between two independent variables is 0.20, what is the VIF

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1. (4 points) Among the contestants in a competition are 44 women and 20 men. If 5 winners are randomly selected, what is the probability that they are all men? A. 0.02114 B. 0.00267 C. 0.00153 D. 0.00203 2. (4 points) A tourist in France wants

A magician performs the following card trick. She asks a volunteer to secretly select a number between 1 and 10 and deal out that many cards from a well-shuffled deck of52 standard playing cards. The last card dealt determines a new number of cards to be dealt from those remaining: if it is an ace, the new number is 1; if it is Jack, Queen orKing,

The Math department purchased a copy machine for $ 12000. After3years, the machine will be worthless. How much money should the department deposit at the end of each quarter, if the money is worth8%compounded quarterly, in order to save enough to buy a new copy machine at the end of 3years? If I understand correctly, this is a compound interest

uiz 2 CASE UPS Air Finance Division The Air Finance Division is one of several divisions within United Parcel Service Financial Corporation, a wholly-owned subsidiary of United Parcel Service (UPS). The Air Finance Division has the responsibility of providing financial services to the company as a whole with respect to all jet aircraft

Unit 06 Assignment (Required/Graded: 80 Points) CSLO 4 Q01 (5 Points) Answer: Q02 (5 Points) Answer: Q03 (5 Points) Answer: Q04 (5 Points) Answer: Q05 (5 Points) Answer: Q06 (5 Points) Answer: Q07 (15 Points) Answer: Q08 (15 Points) The weight of a branch of tree is given by Find the relative rate of change of w with respect to t. Answer: Q09 (20

An information source produces binary triplets {000, 111, 010, 101, 001, 110, 100, 011} with corresponding probabilities {1/4, 1/4, 1/8, 1/8, 1/16, 1/16, 1/16,1/16}. A binary code assigns a codeword of length log2 pk to triplet k. Let X be the length of the string assigned to the output of the information source. (a) Show the mapping from S to Sx,

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 PROPERTY ADDRESS 3532 Maunalei Ave, Honolulu, HI 96816 4675 Aukai Ave, Honolulu, HI 96816 66-912 Kamakahala St Unit 2,

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Topic 10 Multiple Regression Reading from the book: Chapter 12 and Chapter 13: section 13.5 e-book: Chapter 14, pages 469-488 Assignment for Topic 10: Exercise: This exercise continues from the Exercise in Topic 9. The marketing manager of a chain of stores needed more information about the effectiveness of the three types of advertising that the

Hi, Can someone please help me with this problem. Thank you for any help. Several ways to make a bar graph deceptive appear below. Which of these is sometimes used to exaggerate differences from one data value to the next? A.Making the graph shorter than it needs to be B.A gap in the vertical axis C.Making the graph taller than it needs to be

#6 Theme: ANOVA Due: Dec 1, 2015 For your homework please submit your SAS program code (P), your output (O) and your written answers (W) as specified below, in the provided HW template (answer template available on blackboard). Late submissions will receive zero credit. The number of possible points for each problem is specified at the beginning

Please provide a unique example of where mean, median, and mode are appropriate measures in your professional lives please help !!!

An urn contains 6black and 8white balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 4balls drawn from the urn are white? Round your answer to three decimal places

1) Terry & Sons makes bearings for autos. The production system involves two independent processing machines so that each bearing passes through these two processes. The probability that the first processing machine is not working properly at any time is 0.040, and the probability that the second machine is not working properly at any time is

1. Consider the probability that more than 91 out of 148 flights will be on time. Assume the probability that a given flight will be on time is 57%. Approximate the probability using the normal distribution. Round your answer to four decimal places. 2. Determine if the following events are independent. Not shutting of the water in the kitchen

The lifetimes (in miles) of a certain brand of automobile tires is a normally distributed random variable, X, with a mean lifetime of ,=40,000 miles and standard deviation =2000 miles. A state agency with a large fleet of cars has ordered 3000 tires from this manufacturer. Assuming the tires are selected at random from among all tires being

Salary information regarding male and female employees of a large company is shown below. The hypotheses for this study are H 0 : 1 2 0 and H a : 1 2 > 0 Male Female Sample Size 64 36 Sample Mean Salary (in $1,000) 44 41 Population Variance 128 72 At 95% confidence, the margin of error is (Round your answer to 3 decimal places.)

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