9th Edition

ISBN: 9780321794772

Author: Sheldon Ross

Publisher: PEARSON

Concept explainers

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Textbook Question

Chapter 8, Problem 8.17P

Redo Example 5b under the assumption that the number of manâ€”woman pairs is (approximately) normally distributed. Does this seem like a reasonable supposition?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 8, Problem 8.16P

Chapter 8, Problem 8.18P

Chapter 8 Solutions

A First Course in Probability

Ch. 8 - Suppose that X is a random variable with mean and...Ch. 8 - From past experience, a professor knows that the...Ch. 8 - Use the central limit theorem to solve part (c) of...Ch. 8 - Let X1,...,X20 be independent Poisson random...Ch. 8 - Fifty numbers are rounded off to the nearest...Ch. 8 - A die is continually rolled until the total sum of...Ch. 8 - A person has 100 light bulbs whose lifetimes are...Ch. 8 - In Problem 8.7, suppose that it takes a random...Ch. 8 - If X is a gamma random variable with parameters...Ch. 8 - Civil engineers believe that W, the amount of...

Ch. 8 - Many people believe that the daily change of price...Ch. 8 - We have 100 components that we will put in use in...Ch. 8 - Student scores on exams given by a certain...Ch. 8 - A certain component is critical to the operation...Ch. 8 - An insurance company has 10.000 automobile...Ch. 8 - A.J. has 20 jobs that she must do in sequence,...Ch. 8 - Redo Example 5b under the assumption that the...Ch. 8 - Repeat part (a) of Problem 8.2 when it is known...Ch. 8 - A lake contains 4 distinct types of fish. Suppose...Ch. 8 - If X is a nonne9ative random variable with mean...Ch. 8 - Let X be a nonnegative random variable. Prove that...Ch. 8 - Prob. 8.22P Ch. 8 - Let X be a Poisson random variable with mean 20....Ch. 8 - Prob. 8.24P Ch. 8 - If X has variance 2, then , the positive square...Ch. 8 - If X has mean and standard deviation , the ratio...Ch. 8 - Compute the measurement signal-to-noise ratio-that...Ch. 8 - Let Zn,n1, be a sequence of random variables and...Ch. 8 - Prob. 8.5TE Ch. 8 - Prob. 8.6TE Ch. 8 - Prob. 8.7TE Ch. 8 - Explain why a gamma random variable with...Ch. 8 - Prob. 8.9TE Ch. 8 - If X is a Poisson random variable with mean , show...Ch. 8 - Prob. 8.11TE Ch. 8 - Prob. 8.12TE Ch. 8 - Prob. 8.13TE Ch. 8 - Prob. 8.14TE Ch. 8 - The number of automobiles sold weekly at a certain...Ch. 8 - Prob. 8.2STPE Ch. 8 - If E[X]=75E[Y]=75Var(X)=10var(Y)=12cov(X,Y)=3 give...Ch. 8 - Prob. 8.4STPE Ch. 8 - Prob. 8.5STPE Ch. 8 - Prob. 8.6STPE Ch. 8 - Prob. 8.7STPE Ch. 8 - Prob. 8.8STPE Ch. 8 - Prob. 8.9STPE Ch. 8 - A tobacco company claims that the amount of...Ch. 8 - Prob. 8.11STPE Ch. 8 - Prob. 8.12STPE Ch. 8 - The strong law of large numbers states that with...Ch. 8 - Each new book donated to a library must be...

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On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form the price of an appliance. If the contestant is correct, he or she wins the appliance. What is the probability of winning when the contestant knows that the price is at least $400?

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Redo Example 5b under the assumption that the number of manâ€”woman pairs is (approximately) normally distributed. Does this seem like a reasonable supposition?

Solution Summary: The author explains how to compute the probability that X is below 30 if it is concluded that the distribution is normally distributed.

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Chapter 8 Solutions