Probability and Statistical Inference (9th Edition)
9th Edition
ISBN: 9780321923271
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
Publisher: PEARSON
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Textbook Question
Chapter 2.4, Problem 2E
Suppose that in Exercise 2.4-1, X = 1 if a red ball is drawn and X = -1 if a white ball is drawn. Give the pmf,
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Female
Male
Totals
Less than High School
Diploma
0.077
0.110
0.187
High School Diploma
0.154
0.201
0.355
Some College/University
0.141
0.129
0.270
College/University Graduate
0.092
0.096
0.188
Totals
0.464
0.536
1.000
Female
Male
Totals
Less than High School
Diploma
0.077
0.110
0.187
High School Diploma
0.154
0.201
0.355
Some College/University
0.141
0.129
0.270
College/University Graduate
0.092
0.096
0.188
Totals
0.464
0.536
1.000
Chapter 2 Solutions
Probability and Statistical Inference (9th Edition)
Ch. 2.1 - Let the pmf of X be defined by f(x)=x9,x=2,3,4.....Ch. 2.1 - Let a chip be taken at random from a bowl that...Ch. 2.1 - For each of the following, determine the constant...Ch. 2.1 - The state of Michigan generates a three-digit...Ch. 2.1 - The pmf of X is f(x)=(5x)10,x=1,2,3,4. (a) Graph...Ch. 2.1 - Let a random experiment consist of rolling a pair...Ch. 2.1 - Let a random experiment be the casting of a pair...Ch. 2.1 - A fair four-sided die has two faces numbered 0 and...Ch. 2.1 - Let the pmf of X be defined by...Ch. 2.1 - Prob. 10E
Ch. 2.1 - In a lot (collection) of 100 light bulbs, there...Ch. 2.1 - Let X be the number of accidents per week in a...Ch. 2.1 - A professor gave her students six essay questions...Ch. 2.1 - Often in buying a product at a supermarket, there...Ch. 2.1 - Five cards are selected at random without...Ch. 2.1 - Prob. 16ECh. 2.1 - A bag contains 144 ping-pong balls. More than half...Ch. 2.2 - Find E(X) for each of the distributions given in...Ch. 2.2 - Let the random variable X have the pmf...Ch. 2.2 - Let X be a discrete random variable with the...Ch. 2.2 - Prob. 4ECh. 2.2 - Let the random variable X be the number of days...Ch. 2.2 - Let the pmf of X be defined by...Ch. 2.2 - In Example 2.2-1 let Z=u(X)=X3. (a) Find the pmf...Ch. 2.2 - Let X be a random variable with support...Ch. 2.2 - In the gambling game chuck-a-luck, for a $1 bet it...Ch. 2.2 - In the casino game called high—low, there are...Ch. 2.2 - A roulette wheel used in an American casino has 38...Ch. 2.2 - Suppose that a school has 20 classes: 16 with 25...Ch. 2.3 - Find the mean, variance, and index of skewness for...Ch. 2.3 - For each of the following distributions, find...Ch. 2.3 - If the pmf of X is given by f(x), (I) depict the...Ch. 2.3 - Let and 2 denote the mean and variance of the...Ch. 2.3 - Consider an experiment that consists of selecting...Ch. 2.3 - Place eight chips in a bowl: Three have the number...Ch. 2.3 - Let X equal an integer selected at random from the...Ch. 2.3 - Let X equal the larger outcome when two fair...Ch. 2.3 - A warranty is written on a product worth $10,000...Ch. 2.3 - Let X be a discrete random variable with pmf...Ch. 2.3 - If the moment-generating function of X is...Ch. 2.3 - Let X equal the number of people selected at...Ch. 2.3 - For each question on a multiple-choice test, there...Ch. 2.3 - The probability that a machine produces a...Ch. 2.3 - Apples are packaged automatically in 3-pound bags....Ch. 2.3 - Let X equal the number of flips of a fair coin...Ch. 2.3 - Let X equal the number of flips of a fair coin...Ch. 2.3 - Let X have a geometric distribution. Show that...Ch. 2.3 - Given a random permutation of the integers in the...Ch. 2.4 - An urn contains seven red and 11 white balls. Draw...Ch. 2.4 - Suppose that in Exercise 2.4-1, X = 1 if a red...Ch. 2.4 - On a six-question multiple-choice test there are...Ch. 2.4 - It is claimed that 15% of the ducks in a...Ch. 2.4 - In a lab experiment involving inorganic syntheses...Ch. 2.4 - It is believed that approximately 75% of American...Ch. 2.4 - Suppose that 2000 points are selected...Ch. 2.4 - A boiler has four relief valves. The probability...Ch. 2.4 - Suppose that the percentage of American drivers...Ch. 2.4 - A certain type of mint has a label weight of 20.4...Ch. 2.4 - Find the index of skewness for the b(n,p)...Ch. 2.4 - In the casino game chuck-a-luck, three fair six-...Ch. 2.4 - It is claimed that for a particular lottery, 110...Ch. 2.4 - For the lottery described in Exercise 2.4-13, find...Ch. 2.4 - A hospital obtains 40% of its flu vaccine from...Ch. 2.4 - A company starts a fund of M dollars from which it...Ch. 2.4 - Your stockbroker is free to take your calls about...Ch. 2.4 - In group testing for a certain disease, a blood...Ch. 2.4 - Define the pmf and give the values of ,2, and ...Ch. 2.4 - Prob. 20ECh. 2.5 - An excellent free-throw shooter attempts several...Ch. 2.5 - Show that 63512 is the probability that the fifth...Ch. 2.5 - Suppose that a basketball player different from...Ch. 2.5 - Suppose an airport metal detector catches a person...Ch. 2.5 - Let the moment-generating function M(t) of X exist...Ch. 2.5 - Use the result of Exercise 2.6-5 to find the mean...Ch. 2.5 - If E(Xr)=5r,r=1,2,3.... find the moment-generating...Ch. 2.5 - The probability that a companys workforce has no...Ch. 2.5 - One of four different prizes was randomly put into...Ch. 2.5 - In 2016, Red Rose tea randomly began placing one...Ch. 2.6 - Let X have a Poisson distribution with a mean of...Ch. 2.6 - Let X have a Poisson distribution with a variance...Ch. 2.6 - Customers arrive at a travel agency at a mean rate...Ch. 2.6 - If X has a Poisson distribution such that...Ch. 2.6 - Flaws in a certain type of drapery material appear...Ch. 2.6 - Find the index of skewness of a Poisson...Ch. 2.6 - With probability 0.001, a prize of $499 is won in...Ch. 2.6 - Suppose that the probability of suffering a side...Ch. 2.6 - A store selling newspapers orders only n = 4 of a...Ch. 2.6 - The mean of a Poisson random variable X is =9....Ch. 2.6 - An airline always overbooks if possible. A...Ch. 2.6 - A baseball team loses $100,000 for each...Ch. 2.6 - Assume that a policyholder is four times more...
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- Female Male Totals Less than High School Diploma 0.077 0.110 0.187 High School Diploma 0.154 0.201 0.355 Some College/University 0.141 0.129 0.270 College/University Graduate 0.092 0.096 0.188 Totals 0.464 0.536 1.000arrow_forwardFemale Male Totals Less than High School Diploma 0.077 0.110 0.187 High School Diploma 0.154 0.201 0.355 Some College/University 0.141 0.129 0.270 College/University Graduate 0.092 0.096 0.188 Totals 0.464 0.536 1.000arrow_forward6.54 Let Y₁, Y2,..., Y, be independent Poisson random variables with means 1, 2,..., An respectively. Find the a probability function of Y. b conditional probability function of Y₁, given that Y = m. Y₁ = m. c conditional probability function of Y₁+Y2, given that 6.55 Customers arrive at a department store checkout counter according to a Poisson distribution with a mean of 7 per hour. In a given two-hour period, what is the probability that 20 or more customers will arrive at the counter? 6.56 The length of time necessary to tune up a car is exponentially distributed with a mean of .5 hour. If two cars are waiting for a tune-up and the service times are independent, what is the probability that the total time for the two tune-ups will exceed 1.5 hours? [Hint: Recall the result of Example 6.12.] 6.57 Let Y, Y2,..., Y,, be independent random variables such that each Y, has a gamma distribution with parameters a, and B. That is, the distributions of the Y's might have different a's, but…arrow_forward
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