A First Course in Probability (10th Edition)

10th Edition

ISBN: 9780134753119

Author: Sheldon Ross

Publisher: PEARSON

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Textbook Question

Chapter 8, Problem 8.7P

A person has 100 light bulbs whose lifetimes are independent exponentials with mean 5 hours. If the bulbs are used one at a time, with a failed bulb being replaced immediately by a new one, approximate the probability that there is still a working bulb after 525 hours.

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Chapter 8, Problem 8.6P

Chapter 8, Problem 8.8P

Chapter 8 Solutions

A First Course in Probability (10th Edition)

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 - Prob. 8.25P Ch. 8 - If f(x) is an Increasing and g(x) is a decreasing...Ch. 8 - If L(p) is the Lorenz curve associated with the...Ch. 8 - Suppose that L(p) is the Lorenz curve associated...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 - If f and g are density functions that are positive...Ch. 8 - Prob. 8.16TE 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...Ch. 8 - Prove Chebyshevs sum inequality, which says that...

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