A First Course In Probability, Global Edition
10th Edition
ISBN: 9781292269207
Author: Ross, Sheldon
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 4, Problem 4.70P
(a)
To determine
To find:
The
(b)
To determine
To find:
The conditional probability of
(c)
To determine
To find:
The probability is (for
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
An archery target consists of a gold circle with radius of 5 inches surrounded by a red ring whose diameter is 20 inches. Next, there are three progressively larger rings – blue, black, and white. The diameter of each ring is 10 inches larger than the diameter of the previous ring. John is a beginner so his aim is poor and, if his arrow hits the target, its location on the target is completely at random. John shoots and then yells, “I hit it!” Without using your calculator, find the following probabilities. Write the answers as a percentage. a) The probability his arrow landed in the gold circle is ______. b) The probability his arrow landed in the white area is ______. c) The probability his arrow landed in the red or the blue area is ______.
Alonzo, Bob, and Casper work bussing tables at a restaurant. Alonzo has a 35% chance, Bob has a 40% chance, and Casper has a 25% chance of bussing tables in the middle area of the restaurant. If Alonzo is bussing tables, he has a 5% chance of breaking a dish. If Bob is bussing tables, he has a 2% chance of breaking a dish. Finally, if Casper is bussing tables, he has a 4% chance of breaking a dish. If there is a broken dish in the middle of the restaurant, what is the probability it was broken by Casper?
Mary has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the San Bernardino Freeway, and the other is to go via the
Pomona Freeway. Recently, a lane was added to the San Bernardino Freeway. So, Mary wants to determine if it is now faster to take the San Bernardino Freeway
than the Pomona Freeway. She selected a random sample of 13 of her trips via the San Bernardino Freeway and a random sample of 13 of her trips via the
Pomona Freeway. The two samples were chosen separately, so that the selection of the trips via the San Bernardino Freeway did not affect the selection of the
trips via the Pomona Freeway. Mary recorded the travel times (in minutes) for the trips in each of the two samples. The following table gives the data, sample
means, and sample standard deviations.
S.B. Fwy
66, 69, 72, 67, 72, 80, 78, 65, 60, 70, 61, 61, 67
Pomona Fwy 65, 77, 80, 63, 60, 69, 76, 60, 75, 63, 78, 68, 80
Send data to calculator v
Travel times in minutes
O…
Chapter 4 Solutions
A First Course In Probability, Global Edition
Ch. 4 - Two balls are chosen randomly from an urn...Ch. 4 - Two fair dice are rolled, Let X equal the product...Ch. 4 - Three dice are rolled. By assuming that each of...Ch. 4 - Five men and 5 women are ranked according to their...Ch. 4 - Let X represent the difference between the number...Ch. 4 - In Problem 4.5 for n=3, if the coin is assumed...Ch. 4 - Suppose that a die is rolled twice. What are the...Ch. 4 - If the die in Problem 4.7 is assumed fair,...Ch. 4 - Repeat Example 1c, when the balls are selected...Ch. 4 - Let X be the winnings of a gambler. Let...
Ch. 4 - The random variable X is said to follow the...Ch. 4 - In the game of Two-Finger Morra, 2 players show 1...Ch. 4 - A salesman has scheduled two appointments to sell...Ch. 4 - Five distinct numbers are randomly distributed to...Ch. 4 - The National Basketball Association (NBA) draft...Ch. 4 - A deck of n cards numbered 1 through n are to be...Ch. 4 - Suppose that the distribution function of X is...Ch. 4 - Four independent flips of a fair coin are made....Ch. 4 - If the distribution function of X is given...Ch. 4 - A gambling book recommends the following winning...Ch. 4 - Four buses carrying 148 students from the same...Ch. 4 - Suppose that two teams play a series of games that...Ch. 4 - You have $1000, and a certain commodity presently...Ch. 4 - A and B play the following game: A writes down...Ch. 4 - Prob. 4.25PCh. 4 - One of the numbers I through 10 is randomly...Ch. 4 - An insurance company writes a policy to the effect...Ch. 4 - A sample of 3 items is selected at random from a...Ch. 4 - There are two possible causes for a breakdown of a...Ch. 4 - A person tosses a fair coin until a tail appears...Ch. 4 - 4.31. Each night different meteorologists give us...Ch. 4 - To determine whether they have a certain disease,...Ch. 4 - A newsboy purchases papers at 10 cents and sells...Ch. 4 - Prob. 4.34PCh. 4 - A box contains 5 red and 5 blue marbles. Two...Ch. 4 - Consider the friendship network described by...Ch. 4 - Consider Problem 4.22 t with i=2. Find the...Ch. 4 - Find Var (X) and Var (Y) for X and as given in...Ch. 4 - If E[X]=1 and var(X)=5, find a. E[(2+X)2]; b....Ch. 4 - A ball is drawn from an urn containing 3 white and...Ch. 4 - On a multiple-choice exam with 3 possible answers...Ch. 4 - A man claims to have extrasensory perception. As a...Ch. 4 - A and B will take the same 10-question...Ch. 4 - A communications channel transmits the digits 0...Ch. 4 - A satellite system consists of n components and...Ch. 4 - A student is getting ready to take an important...Ch. 4 - Suppose that it takes at least 9 votes from a...Ch. 4 - In some military courts, 9 judges are appointed....Ch. 4 - It is known that diskettes produced by a certain...Ch. 4 - When coin 1 is flipped, it lands on heads with...Ch. 4 - Each member of a population of size n is,...Ch. 4 - In a tournament involving players 1,2,3,4, players...Ch. 4 - Suppose that a biased coin that lands on heads...Ch. 4 - The expected number of typographical errors on a...Ch. 4 - The monthly worldwide average number of airplane...Ch. 4 - Approximately 80000 marriages took place in the...Ch. 4 - State your assumptions. Suppose that the average...Ch. 4 - A certain typing agency employs 2 typists. The...Ch. 4 - How many people are needed so that the probability...Ch. 4 - Suppose that the number of accidents occurring on...Ch. 4 - Compare the Poisson approximation with the correct...Ch. 4 - If you buy a lottery ticket in 50 lotteries, in...Ch. 4 - The number of times that a person contracts a cold...Ch. 4 - The probability of being dealt a full house in a...Ch. 4 - Consider n, independent trials, each of which...Ch. 4 - People enter a gambling casino at a rate of 1...Ch. 4 - The suicide rate in a certain state is 1 suicide...Ch. 4 - Each of 500 soldiers in an army company...Ch. 4 - A total of 2n people, consisting of n married...Ch. 4 - Prob. 4.70PCh. 4 - In response to an attack of 10 missiles, 500...Ch. 4 - A fair coin is flipped 10 times. Find the...Ch. 4 - At time 0, a coin that comes up heads with...Ch. 4 - Consider a roulette wheel consisting of 38 numbers...Ch. 4 - Two athletic teams play a series of games; the...Ch. 4 - Suppose in Problem 4.75 that the two teams are...Ch. 4 - An interviewer is given a list of people she can...Ch. 4 - Prob. 4.78PCh. 4 - Solve the Banach match problem (Example 8e) when...Ch. 4 - In the Banach matchbox problem, find the...Ch. 4 - An urn contains 4 white and 4 black balls. We...Ch. 4 - Suppose that a batch of 100 items contains 6 that...Ch. 4 - A game popular in Nevada gambling casinos is Keno,...Ch. 4 - In Example 81 what percentage of i defective lots...Ch. 4 - A purchaser of transistors buys them in lots of...Ch. 4 - There are three highways in the county. The number...Ch. 4 - Suppose that 10 balls are put into 5 boxes, with...Ch. 4 - There are k types of coupons. Independently of the...Ch. 4 - An urn contains 10 red, S black, and 7 green...Ch. 4 - There are N distinct types of coupons, and each...Ch. 4 - If X has distribution function F, what is the...Ch. 4 - If X has distribution function F, what is the...Ch. 4 - The random variable X is said to have the...Ch. 4 - Let N be a nonnegative integer-valued random...Ch. 4 - Let X be such that P{X=1}=p=1P{X=1}. Find c1 such...Ch. 4 - Let X be a random variable having expected value ...Ch. 4 - Find Var (X) if P(X=a)=(1)=p=1P(X=b)Ch. 4 - Show how the derivation of the binomial...Ch. 4 - Let X be a binomial random variable with...Ch. 4 - Let X be the number of successes that result from...Ch. 4 - Consider n independent sequential trials, each of...Ch. 4 - There are n components lined up in a linear...Ch. 4 - Let X be a binomial random variable with...Ch. 4 - A family has n children with probability pn,n1...Ch. 4 - Suppose that n independent tosses of a coin having...Ch. 4 - Let X be a Poisson random variable with parameter...Ch. 4 - Let X be a Poisson random variable with parameter ...Ch. 4 - Prob. 4.19TECh. 4 - Show that X is a Poisson random variable with...Ch. 4 - Consider n coins, each of which independently...Ch. 4 - From a set of n randomly chosen people, let Eij...Ch. 4 - An urn contains 2 n balls, of which 2 are numbered...Ch. 4 - Consider a random collection of n individuals. In...Ch. 4 - Here is another way to obtain a set of recursive...Ch. 4 - Suppose that the number of events that occur in a...Ch. 4 - Prove i=0nii!=1n!exxndx Hint: Use integration by...Ch. 4 - If X is a geometric random variable, show...Ch. 4 - Let X be a negative binomial random variable with...Ch. 4 - For a hyper geometric random variable,...Ch. 4 - Balls numbered I through N are in an urn. Suppose...Ch. 4 - A jar contains m+n chips, numbered 1, 2,. ., n+m....Ch. 4 - Prob. 4.33TECh. 4 - Prob. 4.34TECh. 4 - Prob. 4.35TECh. 4 - An urn initially contains one red and one blue...Ch. 4 - Prob. 4.37TECh. 4 - Prob. 4.1STPECh. 4 - Prob. 4.2STPECh. 4 - A coin that when flipped comes up heads with...Ch. 4 - Prob. 4.4STPECh. 4 - Suppose that P{X=0}=1P{X=1}. If E[X]=3Var(X), find...Ch. 4 - There are 2 coins in a bin. When one of them is...Ch. 4 - Prob. 4.7STPECh. 4 - Prob. 4.8STPECh. 4 - Prob. 4.9STPECh. 4 - An urn contains n balls numbered 1 through n. If...Ch. 4 - Prob. 4.11STPECh. 4 - Prob. 4.12STPECh. 4 - Each of the members of a 7-judge panel...Ch. 4 - Prob. 4.14STPECh. 4 - The number of eggs laid on a tree leaf by an...Ch. 4 - Each of n boys and n girls, independently and...Ch. 4 - A total of 2n people, consisting of n married...Ch. 4 - Prob. 4.18STPECh. 4 - Prob. 4.19STPECh. 4 - Show that if X is a geometric random variable with...Ch. 4 - Suppose that P{X=a}=p,P{X=b}=1p a. Show that Xbab...Ch. 4 - Prob. 4.22STPECh. 4 - Balls are randomly withdrawn, one at a time...Ch. 4 - Ten balls are to be distributed among 5 urns, with...Ch. 4 - For the match problem (Example 5m in Chapter 2),...Ch. 4 - Let be the probability that a geometric random...Ch. 4 - Two teams will play a series of games, with the...Ch. 4 - An urn has n white and m black balls. Balls are...Ch. 4 - Prob. 4.29STPECh. 4 - If X is a binomial random variable with parameters...Ch. 4 - Let X be the ith smallest number in a random...Ch. 4 - Balls are randomly removed from an urn consisting...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Similar questions
- Charmaine has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the San Bernardino Freeway, and the other is to go via the Pomona Freeway. Recently, a lane was added to the San Bernardino Freeway. So, Charmaine wants to determine if it is now faster to take the San Bernardino Freeway than the Pomona Freeway. She selected a random sample of 11 of her trips via the San Bernardino Freeway and a random sample of 11 of her trips via the Pomona Freeway. The two samples were chosen separately, so that the selection of the trips via the San Bernardino Freeway did not affect the selection of the trips via the Pomona Freeway. Charmaine recorded the travel times (in minutes) for the trips in each of the two samples. The following table gives the data, sample means, and sample standard deviations. Travel times in minutes Sample mean Sample standard deviation S.B. Fwy 79, 63, 73, 63, 61, 67, 75, 60, 73, 60, 79 68.5 7.5 Pomona Fwy 77,…arrow_forwardtab Rules for expectation and variance of random variables Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following. E(X)=-7 Var (X)=9 E(Y) = 4 E(Z)=1 Var (Y)=30 Var (Z)=7 Compute the values of the expressions below. E E(-2Y-4)= 0 -5X-4Z Var (2X-1)= E (22²) = 0 Explanation esc ! Q Check @ 2 W X #3 E $ 4 % R 5 MacBook Pro Fr ^ H 6 Ⓒ2022 McGraw Hill LLC. All Rights 22. & Y 8 U Harrow_forwardA basketball coach is interested in determining if shooting free throws underhand is better than shooting them using the overhead method. He has four high school teams (two boys' teams and two girls' teams, with 13 players on each team) available to take part in an experiment. He believes that the difference in shooting percentages will vary more for boys than for girls. He randomly chooses and instructs half of the boys to continue shooting free throws overhead and the rest of the boys to shoot underhand. He does the same for the girls. At the end of a six-game summer league, he compares the shooting percentages for the overhead shooting boys to the underhand shooting boys and the overhead shooting girls to the underhand shooting girls. (a) What is the advantage of using a block design for this study? O Blocking by gender will reduce the variation in the response variable by creating homogeneous groups and determining the effect of the new shooting style on the response (percentage of…arrow_forward
- An educational psychologist is concerned about the effect of distractions on studying. The psychologist selects a random sample of 20 people and asks them to read and study a chapter of a textbook. Ten of the participants are randomly assigned to study the chapter while given the usual access to their cell phones, while the other 10 are assigned to turn their cell phones off and to not turn them on until the study session is completed. After the participants are given 3 hours to read and study, they are given a quiz on the material. The participants who studied with cell phone distractions got an average of 78 on the quiz (SS = 166) and the participants who studied without access to their cellphones got an average of 84 on the quiz (SS = 158). Determine if there is sufficient evidence at the 1% level of significance using a standard two-tailed test that cell phone distractions reduce exam performance. Find a 99% Confidence Interval for the difference between means. What is the…arrow_forwardMorris’s kidneys have failed and he is awaiting a kidney transplant. His doctor gives him this information for patients in his condition. Of those patients who get matched with a kidney, 90% survey the transplant operation and 10% do not. The transplant succeeds in 60% of those who survive and the other 40% must return to kidney dialysis. The proportions of those who survive for at least 5 years post transplant is 70% for those who had a successful transplant and 50% for those who return to dialysis. Assuming Morris is matched with a kidney, what is his chance of surviving 5 years post transplant. It may be helpful to draw a tree diagram to solve this problem.arrow_forwardSamuel recently got his first dog, and he's considering if he should pay for professional dog training. He's skeptical paying for this training is worth it, but fortunately Samuel is a statistician and friends with some researchers at the veterinary school. They randomly recruit 70 dogs to take part in the study, and a respected pet trainer in the region agrees to help train these dogs as part of the study. Prior to the study, Samuel and the vets pair off all the dogs based on both biological characteristics as well as owner characteristics. As a result, they have 35 pairs of dogs that are relatively similar. One dog in each pair is randomly chosen to receive the professional behavior training, while the other dog will not receive the training (but will still be trained by its owners). After training the dogs for two months, a second professional dog trainer is brought in to assess the obedience levels of all the dogs. Assume they are able to do so and can convert their ratings to a…arrow_forward
- Dace is a political analyst for a presidential candidate (Aspirant A) with two strong competitors (Aspirants B and C). She analyzed that B and C have exactly the same chance of winning a seat while A has twice the chance of either B and C. With the given information, what is the chance of A in winning.arrow_forwardJenn works for a company that helps customers with various computer problems and she is in charge of computers that quit working either because they have virus A or computer virus B. Jenn estimates that about 20% of customers come in because of virus A and the remaining come in because of virus B . If the computer is infected by virus A, Jenn has a 35% chance of fixing the problem. But if the computer has virus B, she has a 95% chance of fixing the problem. 1. A random computer is selected from the shop. What is the probability that it can't be fixed by Jenn? Show your work on paper 2. A random computer is selected and it is one Jenn can't fix. What is the probability that it was infected with virus A? Show your work on paperarrow_forwardHelp pleasearrow_forward
- Please show your work: A has four shares in a lottery in which there are four prizes and five blanks. B has three shares in another lottery in which there are three prizes and four blanks. Which has the better chance of winning exactly one prize ? What of winning two prizes?arrow_forwardOn a certain hole, a golfer knows that he has a 70% chance of reaching the green (putting surface) in one stroke, 20% in two strokes, 8% in three, and 2% in four or more. If he reaches the green on his first stroke, he has an 80% chance of putting the golf ball in the cup on his second stroke. If he does not reach the green on his first stroke, then he has a 30% chance of putting the golf ball in the cup on his second stroke. What is the probability that the golfer will reach the green in one stroke and put the ball in the cup on his second stroke? 0.09 0.21 0.56 0.80arrow_forwardPlease solve part E and Farrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Introduction to experimental design and analysis of variance (ANOVA); Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=vSFo1MwLoxU;License: Standard YouTube License, CC-BY