A First Course in Probability (10th Edition)

10th Edition

ISBN: 9780134753119

Author: Sheldon Ross

Publisher: PEARSON

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could co…

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a…

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Textbook Question

Chapter 10, Problem 10.3P

Give a technique for simulating a random variable having the probability density function f ( x ) = { 1 2 ( x − 2 ) 2 ≤ x ≤ 3 1 2 ( 2 − x 3 ) 3 < x ≤ 6 0 otherwise

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Chapter 10, Problem 10.2P

Chapter 10, Problem 10.4P

Chapter 10 Solutions

A First Course in Probability (10th Edition)

Ch. 10 - The following algorithm will generate a random...Ch. 10 - Prob. 10.2P Ch. 10 - Give a technique for simulating a random variable...Ch. 10 - Present a method for simulating a random variable...Ch. 10 - Use the inverse transformation method to present...Ch. 10 - Give a method for simulating a random variable...Ch. 10 - Let F be the distribution functionF(x)=xn0x1 a....Ch. 10 - Prob. 10.8P Ch. 10 - Suppose we have a method for simulating random...Ch. 10 - Prob. 10.10P

Ch. 10 - Use the rejection method with g(x)=1,0x1, to...Ch. 10 - Prob. 10.12P Ch. 10 - Prob. 10.13P Ch. 10 - Prob. 10.14P Ch. 10 - Prob. 10.15P Ch. 10 - Let X be a random variable on (0, 1) whose density...Ch. 10 - Prob. 10.1STPE Ch. 10 - Prob. 10.2STPE Ch. 10 - Prob. 10.3STPE Ch. 10 - If X is a normal random variable with mean and...Ch. 10 - Prob. 10.5STPE

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Give a technique for simulating a random variable having the probability density function f ( x ) = { 1 2 ( x − 2 ) 2 ≤ x ≤ 3 1 2 ( 2 − x 3 ) 3 &lt; x ≤ 6 0 otherwise

Solution Summary: The author describes a technique for simulating random variable having probability density function.

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Chapter 10 Solutions

Give a technique for simulating a random variable having the probability density function f ( x ) = { 1 2 ( x − 2 ) 2 ≤ x ≤ 3 1 2 ( 2 − x 3 ) 3 < x ≤ 6 0 otherwise