New Semester Started Get 50% OFF Study Help! --h --m --s Claim Now

Question Answers

Textbooks

Find textbooks, questions and answers

Oops, something went wrong!

Change your search query and then try again

Result Not Found

Books FREE
Study Help
Tutors
AI Study Planner NEW
Sell Books

Search
Sign In
Register

study help
mathematics
statistics

Statistics Principles And Methods 7th Edition Richard A. Johnson, Gouri K. Bhattacharyya - Solutions

For fitting body length to weight for all wolves given in Table D.9 in the Data Bank, use MINITAB or some other computer package to obtain: (a) The scatter diagram. (b) The correlation coefficient.
Interviews with 150 persons engaged in a stressful occupation revealed that 57 were alcoholics, 64 were mentally depressed, and 42 were both.(a) Based on these records, complete the following two-way frequency table.(b) Calculate the relative frequencies.
Use MINITAB or some other computer package to obtain the scatter diagram, correlation coefficient, and regression line of: (a) The final on the initial times to row given in Table D.4 in the Data Bank. (b) Drop one unusual pair and repeat part (a). Comment on any major differences.
A director of student counseling is interested in the relationship between the numerical score x and the social science score yon college qualification tests. The following data (courtesy of R. W. Johnson) are recorded.(a) Plot the scatter diagram.(b) Calculate r.
Cross-tabulate the "Class data" of Exercise 2.100 according to gender (M, F) and the general areas of intended major (H, S, B, P). Calculate the relative frequencies.In Exercise 2.100(a) Summarize the data of "intended major" in a frequency table.(b) Summarize the data of "year in college" in a
A psychologist interested in obese children gathered data on a group of children and their parents.(a) Calculate the marginal totals.(b) Convert the frequencies to relative frequencies.(c) Calculate the relative frequencies separately for each row.
Typically, there is a gender unbalance among tenured faculty, especially in the sciences. At a large university, tenured faculty members in two departments, English and Computer Science, were categorized according to gender.(a) Calculate relative frequencies separately for each row.(b) Comment on
Match the proposed probability of A with the appropriate verbal description. (More than one description may apply.)
Refer to Exercise 4.99, and further suppose that the 5 respondents who are below 30 consist of 2 males and 3 females, whereas those above 30 consist of 4 males and 2 females. Now, the researcher wants to randomly select 2 males and 2 females to be assigned to the treatment regimen. (The random
A box of tulip bulbs contains six bulbs that produce yellow flowers and five bulbs that produce red flowers. Four bulbs are to be randomly selected without replacement. Find the probability that: (a) Exactly two of the selected bulbs produce red flowers. (b) At least two of the selected bulbs
A file cabinet has 8 student folders arranged alphabetically according to last name. Three files are selected at random. (a) How many different selections are possible? (b) Find the probability that the selected folders are all adjacent. (Enumerate the selections of adjacent folders)
Describe the sample space for each of the following experiments. (a) The number of different words used in a sentence containing 24 words. (b) The air pressure (psi) in the right front tire of a car. (c) In a survey, 50 students are asked to respond "yes" or "no" to the question "Do you hold at
Identify these events in the corresponding parts of Exercise 4.103. (a) More than 22 words. (b) Air pressure less than or equal to 28 psi. (c) At most 25% hold jobs. (d) Less than 500.5 days.
Examine each of these probability assignments and state what makes it improper. (a) Concerning tomorrow's weather, P(Rain) = .4 P(Cloudy but no rain) = .5 P(Sunny) = .2 (b) Concerning your passing of the statistics course, P(Pass) = 1.1 P(Fail) = .1 (c) Concerning your grades in statistics and
The Wimbledon men's tennis championship ends when one player wins three sets. (a) How many elementary outcomes end in three sets? In four? (b) If the players are evenly matched, what is the probability that the tennis match ends in four sets?
There are four tickets numbered 1, 2, 3, and 4. Suppose a two-digit number will be formed by first drawing one ticket at random and then drawing a second ticket at random from the remaining three. (For instance, if the first ticket drawn shows 3 and the second shows 1, the number recorded is 31.)
To compare two varieties of wheat, say, a and b, a field trial will be conducted on four square plots located in two rows and two columns. Each variety will be planted on two of these plots. (a) List all possible assignments for variety a. (b) If the assignments are made completely at random, find
Refer to Exercise 4.110. Instead of a completely random choice, suppose a plot is chosen at random from each row and assigned to variety a. Find the probability that the plots receiving a are in the same column.
Chevalier de Mere, a French nobleman of the seventeenth century, reasoned that in a single throw of a fair die, P(1) = 1/6, so in two throws, P(1 appears at least once) = 1/6 + 1/6 = 1/3. What is wrong with the above reasoning? Use the sample space of Exercise 4.21 to obtain the correct answer.
Does the uniform model apply to the following observations? Explain. (a) Day of week on which the most persons depart by airplane from Chicago. (b) Day of week on which the monthly low temperature occurs. (c) Day of week on which the maximum amount of ozone is recorded. (d) Month of year when a
A three-digit number is formed by arranging the digits 1, 2, and 5 in a random order. (a) List the sample space. (b) Find the probability of getting a number less than 400. (c) What is the probability that an even number is obtained?
In checking the conditions of a used car, let A denote the event that the car has a faulty transmission, B the event that it has faulty brakes, and C the event that it has a faulty exhaust system. Describe in words what the following events represent:(a) A U B(b) ABC(c)(D)
Using event relations, express the following events in terms of the three events A, B, and C. (a) All three events occur. (b) At least one of the three events occurs. (c) A and B occur and C does not. (d) Only B occurs.
A campus organization will select one day of the week for an end-of-year picnic. Assume that the weekdays, Monday through Friday, are equally likely and that each weekend day, Saturday and Sunday, is twice as likely as a weekday to be selected. (a) Assign probabilities to the seven outcomes. (b)
(a) Draw a Venn diagram, identify the intersections, and mark the probabilities.(b) Determine the probabilities
Referring to Exercise 4.120 describe each event in the context of the problem and calculate the probabilities of the following events. (a) Both B and C occur. (b) Either B or C occurs. (c) B occurs and C does not occur. (d) Only one of the three events A, B, and C occurs.
Concerning three events A, B, and C, the following probabilities are specified. P(A) = .51 P(AB) = .17 P(ABC) = .12 P(B) = .45 P(BC) = .20 P(C) = .50 P(AC) = .33 Draw a Venn diagram and determine the probabilities of all the intersections that appear in the diagram. Also, make a probability
Referring to Exercise 4.122 find the probability that: (a) B occurs and C does not occur. (b) At least one of the events A and B occurs. (c) Exactly two of the events A, B, and C occur.
Suppose a fair die has its even-numbered faces painted red and the odd-numbered faces are white. Consider the experiment of rolling the die once and the events A = [2 or 3 shows up] B = [Red face shows up] Find the following probabilities: (a) P[A) (b) P(B) (c) P(AB) (d) P(A|B) (e) P(A ∪ B)
Suppose three events A, B, and C are such that B and C are mutually exclusive and(a) Show the events in a Venn diagram.(b) Determine the probabilities of all the intersections and mark them in the Venn diagram.(c) Find the probability that only one of the three events occurs.
Refer to Exercise 4.126 for each pair of events given below, determine whether or not the events are independent. (a) A, C (b) AB, C
Let A be the event that a person is a binge drinker and B be the event that the person is female. For a person selected at random in the United States, the probabilities are6(a) Express in words, in the context of this problem, the third probability statement. (b) Determine the probability that the
Refer to the probability table given in Exercise 4.120 concerning three events A, B, and C.(a) Find the conditional probability of A given that B does not occur.(b) Find the conditional probability of B given that both A and C occur.(c) Determine whether or not the events A and C are independent.
The month in which the year's highest temperature occurs in a city has probabilities in the ratio 1:3:6:10 for May, June, July, and August, respectively. Find the probability that the highest temperature occurs in either May or June.
Mr. Hope, a character apprehended by Sherlock Holmes, was driven by revenge to commit two murders. He presented two seemingly identical pills, one containing a deadly poison, to an adversary who selected one while Mr. Hope took the other. The entire procedure was then to be repeated with the second
Refer to the Statistic in Context discussion about space junk. Change the probability of hitting to (a) .4 and repeat the calculation of probability for hitting your city. (b) .1 and repeat the calculation of probability for hitting your city.
A mail order firm sends 70% of its orders by a parcel service that delivers late only 2% of the time. It sends the other 30% by a combination bus service and local transportation that delivers late 7% of the time. Find the(a) The probability that an order will be delivered late.(b) The probability
Identity theft is a growing problem in the United States. According to a Federal Trade Commission Report about 280,000 identity complaints were filed for 2011. Among the 43.2 million persons in the 20-29 year old age group, 56,689 complaints were filed. The 20-29 year old age group makes up
Three production lines contribute to the total pool of a company's product. Line 1 provides 20% to the pool and 10% of its products are defective; Line 2 provides 50% to the pool and 5% of its products are defective; Line 3 contributes 30% to the pool and 6% of its products are defective. (a) What
In an optical sensory experiment, a subject shows a fast response (F), a delayed response (D), or no response at all (N). The experiment will be performed on two subjects. (a) Using a tree diagram, list the sample space. (b) Suppose, for each subject, P(F) = -4, P(D) = .3, P(N) = .3, and the
Four upper level undergraduate students are available to serve on a committee.Two students will be selected at random to serve on the committee. Let A - The students selected are of the same gender. B - The students selected are the same year in school. (a) Make a Venn diagram showing the outcomes
A local moving company owns 11 trucks. Three are randomly selected for compliance with emission standards and all are found to be noncompliant. The company argues that these are the only three that do not meet the standards. Calculate the probability that, if only three are noncompliant, all three
In all of William Shakespeare's works, he used 884,647 different words. Of these, 14,376 appeared only once and 4343 appeared twice. If one word is randomly selected from a list of these 884,647 different words: (a) What is the probability that the selected word appears only once? (b) What is the
An IRS agent receives a batch of 18 tax returns that were flagged by computer for possible tax evasions. Suppose, unknown to the agent, 7 of these returns have illegal deductions and the other 11 are in good standing. If the agent randomly selects 4 of these returns for audit, what is the
An urn contains 4 red and 6 green balls. One ball is drawn at random and its color is observed. The ball is then returned to the urn, and 3 new balls of the same color are added to the urn. A second ball is then randomly drawn from the urn that now contains 13 balls. (a) List all outcomes of this
It is somewhat surprising to learn the probability that 2 persons in a class share the same birthday. As an approximation, assume that the 365 days are equally likely birthdays.(a) What is the probability that, among 3 persons, at least 2 have the same birthday? [The reasoning associated with a
Refer to the day of birth data in the preceding text above. Assuming conditions are the same today, estimate the probability that a baby will be born during a weekday. That is, not on Saturday or Sunday.
Among 41,131 turkey permit holders for a recent hunting season in Wisconsin, 8845 harvested a bird. Assuming conditions are the same today, estimate the probability that a turkey will be harvested for a single permit.
Consider the experiment of tossing a fair coin three times. (a) List the sample space by drawing a tree diagram. (b) Assign probabilities to the elementary outcomes. (c) Find the probability of getting exactly one head.
A stack contains eight tickets numbered 1, 1, 2, 2, 2, 3, 3, 3. One ticket will be drawn at random and its number will be noted. (a) List the sample space and assign probabilities to the elementary outcomes. (b) What is the probability of drawing an odd-numbered ticket?
For each numerical value assigned to the probability of an event, identify the verbal statements that are appropriate. (a) 1.1 (b) 1/1.1 (c) 1/2 (d) 43/47 (e) 1/89 (f) 1.0 Verbal statements: (i) cannot be a probability, (ii) the event is very unlikely to happen, (iii) 50-50 chance of happening,
Suppose you are eating at a pizza parlor with two friends. You have agreed to the following rule to decide who will pay the bill. Each person will toss a coin. The person who gets a result that is different from the other two will pay the bill. If all three tosses yield the same result, the bill
A white and a colored die are tossed. The possible outcomes are shown in the illustration below.(a) Identify the events A = [Sum = 6], B = [Sum = 7], C = [Sum is even], D = [Same number on each die].(b) If both die are "fair," assign probability to each elementary outcome.(c) Obtain P(A), P(B),
A roulette wheel has 34 slots, 2 of which are green, 16 are red, and 16 are black. A successful bet on black or red doubles the money, whereas one on green fetches 30 times as much. If you play the game once by betting $5 on the black, what is the probability that: (a) You will lose your $5? (b)
One part of a quiz consists of two multiple-choice questions with the suggested answers: True (T), False (F), or Insufficient Data to Answer (I). An unprepared student randomly marks one of the three answers to each question.(a) Make a tree diagram to list the sample space, that is, all possible
Based on the data of the Center for Health Statistics, the 2009 birth rates in 50 states are grouped in the following frequency table.If one state is selected at random, what is the probability that the birth rate there is: (a) Under 14? (b) Under 18 but not under 12? (c) 16 or over?
Fifteen persons reporting to a Red Cross center one day are typed for blood, and the following counts are found:If one person is randomly selected, what is the probability that this person's blood group is: (a) AB? (b) Either A or B? (c) Not O?
(a) Consider the simplistic model that human births are evenly distributed over the 12 calendar months. If a person is randomly selected, say, from a phone directory, what is the probability that his or her birthday would be in November or December?(b) The following record shows a classification of
A government agency will randomly select one of the 14 paper mills in a state to investigate its compliance with federal safety standards. Suppose, unknown to the agency, 9 of these mills are in compliance, 3 are borderline cases, and 2 are in gross violation. (a) Formulate the sample space in such
A plant geneticist crosses two parent strains, each with gene pairs of type aA. An offspring receives one gene from each parent. (a) Construct the sample space for the genetic type of the offspring. (b) Assign probabilities assuming that the selection of genes is random. (c) If A is dominant and
Explain why the long-run relative frequency interpretation of probability does not apply to the following situations. (a) The proportion of days when the home loan rate at your bank is above its value at the start of the year. (b) The proportion of cars that do not meet emission standards if the
A local bookstore intended to award three gift certificates in the amounts $100, $50, and $25 to the first, second, and third customer to identify a mystery author. Unfortunately, a careless clerk in charge of mailing forgot the order and just randomly placed the gift certificates in the already
Refer to Exercise 4.32. (a) Assign probabilities to the elementary outcomes. (b) Find P(A) and P(B).
Next week, a student worker will be assigned one morning of kitchen duty. The sample space has seven elementary outcomes e1, e2,. . . ., e7 where ex represents Sunday, e2 Monday, and so on. Two events are given as A = {e4, e5, e6, e7} and B = (e1, e6, ej).(a) Draw a Venn diagram and show the events
A sample space consists of 8 elementary outcomes with the following probabilities.Three events are given asA = {el, e2, e5, e6, e7},B = {e2, e3, e6, e7}, and C = {e6, e8}.(a) Draw a Venn diagram and show these events.(b) Give the composition and determine the probability of
Refer to Exercise 4.36. Corresponding to each verbal description given here, write the event in set notation, give its composition, and find its probability.(a) C does not occur.(b) Both A and B occur.(c) A occurs and B does not occur.(d) Neither A nor C occurs.
Four applicants are interviewed for an administrative position with an environmental lobby. They have the following characteristics. 1. Psychology major, male, GPA 3.5 2. Chemistry major, female, GPA 3.3 3. Journalism major, female, GPA 3.7 4. Mathematics major, male, GPA 3.8 One of the candidates
Construct a sample space for each of the following experiments. (a) Someone claims to be able to taste the difference between the same brand of bottled, tap, and canned draft beer. A glass of each is poured and given to the subject in an unknown order. The subject is asked to identify the contents
For the experiment of Exercise 4.39, give a verbal description of each of the following events and also state the composition of the event.(a)(b)(c)
A sample space consists of 9 elementary outcomes e1, e2, . . . , e9 whose probabilities areP{e1) = P(e2) = .04 P(e3) = P(eA) = P(e5) = .2 P(e6) = P(e7) = A P(es) = P(e9) = .06SupposeA = {el, e5, e8}, B = {e2, e5, e8, e9}.(a) Calculate P(A), P(B), and P(AB).(b) Using the addition law of probability,
Refer to Exercise 4.35. Suppose the elementary outcomes are assigned these probabilities.P(el) = P(e2) = P(e3) = .15P(e4) = P(e5) = .06 P(e6) = .2 P(e7) = .23(a) find P(A), P(B), and P(AB).(b) Employing the laws of probability and the results of part (a), calculate(c) Verify your answers to part
Consider the two-events.A = [Obese] / B = [Male]for persons in the age group 20-39 years old. A survey taken in early 2009-2010 by the National Center for Health Statistics, suggests the probabilitiesP(A) = .36 P(B) = .50 P(AB) = .18for a randomly selected person.(a) Enter these probabilities in
Refer to Exercise 4.43. Express the following events in set notation and find their probabilities.(a) B occurs and A does not occur.(b) Neither A nor B occurs.(c) Either A occurs or B does not occur.
Consider the two events.A = [5 or more alcoholic drinks in one day last year]B = [Female]A 2008 survey taken by the National Center for Health Statistics, suggests the probabilitiesfor a randomly selected person in the age group 18-24 years old. The following table shows the probabilities
From the probabilities shown in this Venn diagram, determine the probabilities of the following events.(a) A does not occur.b) A occurs and B does not occur.(c) Exactly one of the events A and B occurs.
In a class of 32 seniors and graduate students, 20 are men and 12 are graduate students of whom 8 are women. If a student is randomly selected from this class, what is the probability that the selected student is (a) a senior? (b) a male graduate student?
Of 18 fast food restaurants in a city, 7 are in violation of sanitary standards, 8 are in violation of safety standards, and 4 are in violation of both. If a fast food restaurant is chosen at random, what is the probability that it is in compliance with both safety and sanitary standards?
Identify these events in Exercise 4.4. (a) Not more than one correct identification. (b) Less accidents than last year. (If you don't know last year's value, use 345.) (c) Longer than the 90-day warranty but less than 425.4 days.
Given that the probability that A occurs is .3, the probability that B does not occur is .6, and the probability that either A or B occurs is .5, find:(a) The probability that A does not occur.(b) The probability that both A and B occur.(c) The probability that A occurs and B does not occur.
The medical records of the male diabetic patients reporting to a clinic during one year provide the following percentages.Suppose a patient is chosen at random from this group, and the events A, B, and C are defined as follows.A = [He has a serious case]B = [He is below 40]C = [His parents are
The following frequency table shows the classification of 58 landfills in a state according to their concentration of the three hazardous chemicals arsenic, barium, and mercury.If a landfill is selected at random, find the probability that it has: (a) A high concentration of barium. (b) A high
A bank rewards its employees by giving awards to any employee who is cited by a customer for giving special service. Each award consists of two gift certificates contained in a sealed envelope. Each envelope contains certificates for one of the five following combinations of items.1. Dinner and box
A person is randomly selected from persons working in your state. Consider the two events A = [Earned over $70,000 last year] B = [College graduate] Given that the person is a college graduate, would you expect the probability of A to be larger, the same, or smaller than the unconditional
A person is randomly selected from persons working in your state. Consider the two events A = [Lawyer] B = [Driving a new luxury car] Given that the person selected drives a new luxury car, would you expect the probability of A to be larger, the same, or smaller than the unconditional probability
Refer to Exercise 4.43. Find(a) The conditional probability that B occurs given that A occurs.(b) The conditional probability that B does not occur given that A occurs.(c) The conditional probability that B occurs given that A does not occur.
The following data relate to the proportions in a population of drivers.A = Defensive driver training last yearB = Accident in current yearThe probabilities are given in the accompanying Venn diagram. Find P(B|A). Are A and B independent?
A witness identified a suspect as having blond hair. However, when tested under lighting conditions similar to those on the night of the incident, it was concluded that the probability of correctly identifying blond hair was .90 and the probability of being incorrect about non blond hair was .2.
For two events A and B, the following probabilities are given.P(A) = A P(B) = .25 P(A|B) = .7Use the appropriate laws of probability to calculate(a) P()(b) P(AB)(c) P(A U B)
When bidding on two projects, the president and vice president of a construction company make the following probability assessments for winning the contracts.For both cases, examine whether or not the probability assignment is permissible.
Records of student patients at a dentist's office concerning fear of visiting the dentist suggest the following proportions.For a student selected at random, consider the events A = [Fear] M = [Middle school] (a) Find the probabilities P(A) P(AM) P(M) P(A U M) (b) Are A and M independent?
An urn contains two green balls and three red balls. Suppose two balls will be drawn at random one after another and without replacement (i.e., the first ball drawn is not returned to the urn before the second one is drawn). (a) Find the probabilities of the events A = [Green ball appears in the
One type of passenger airplane has four engines but it can still fly with only one. Suppose each engine has probability .002 of failing during a flight. (a) Calculate the probability of all four engines failing during the same flight. Assume independence. (b) One accident did occur when all four
An insurance company's records of 12,299 automobile insurance policies revealed that 2073 made a claim. Among insured drivers under age 25, there were 1032 claims out of 5192 policies (courtesy of J. Hickman). Assuming the claim history is valid for the current year, determine the probability
If the probability of running out of gas is .03 and the probability the electronic starting system will not work is .01,(a) What is the probability that there will be enough gas and that the starting system will work? Assume the two events are independent.(b) When may independence be a poor
Suppose P(A) = .6 and P(B) = .22. (a) Determine P(A U B) if A and B are independent. (b) Determine P(A U B) if A and B are mutually exclusive. (c) Find P(A| ) if A and B are mutually exclusive.
Refer to Exercise 4.49.(a) If a fast food restaurant selected at random is found to comply with safety standards, what is the probability that it violates sanitary standards?(b) If a restaurant selected at random is found to violate at least one of the two standards, what is the probability that it
Of 20 rats in a cage, 12 are males and 9 are infected with a virus that causes hemorrhagic fever. Of the 12 male rats, 7 are infected with the virus. One rat is randomly selected from the cage.(a) If the selected rat is found to be infected, what is the probability that it is a female?(b) If the
A restaurant critic goes to a place twice. If she has an unsatisfactory experience during both visits, she will go once more. Otherwise she will make only the two visits.Assuming that the results for different visits are independent and that the probability of a satisfactory experience in any one
Of three events, A, B, and C, suppose events A and B are independent and events B and C are mutually exclusive. Their probabilities are P(A) = .7, P(B) = .2, and P(C) = .3. Express the following events in set notation and calculate their probabilities.(a) Both B and C occur.(b) At least one of A
Bob, John, Linda, and Sue are the finalists in the campus bowling tournament. The winner and the first runner-up will be sent to a statewide competition. (a) List the sample space concerning the outcomes of the local tournament. (b) Give the composition of each of the following events. A = Linda

Showing 66000 - 66100 of 88243

First
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
Last

Step by Step Answers

Services

Sitemap
Fun
Definitions
Become Tutor
Used Textbooks
Study Help Categories
Recent Questions
Expert Questions
Campus Wear
Sell Your Books

Company Info

Security
Copyrights
Privacy Policy
Terms & Conditions
SolutionInn Fee
Scholarship
Online Quiz
Give Feedback, Get Rewards

Get In Touch

About Us
Contact Us
Career
Jobs
FAQ
Student Discount
Campus Ambassador

Secure Payment

Download Our App

© 2026 SolutionInn. All Rights Reserved