A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Chapter 10, Problem 10.1STPE
a.
To determine
To find: The value of C
b.
To determine
To find: The method to stimulate the random variable.
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The pH water samples from a specific lake is a random variable X with probability density
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f(x) = {8
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5 < x<7
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a. ) Find E(X) ( expected value or mean)
b. ) Find V(X) ( Variance)
A random variable X has a probability density function given by:
[cx +3, -3sxs-2
f(x)={3-cx, 2sxs3
0,
elsewhere
1. Find the value of c that will make the pdf valid.
2. Derive its corresponding distribution function.
Chapter 10 Solutions
A First Course in Probability (10th Edition)
Ch. 10 - The following algorithm will generate a random...Ch. 10 - Prob. 10.2PCh. 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. 10.8PCh. 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. 10.12PCh. 10 - Prob. 10.13PCh. 10 - Prob. 10.14PCh. 10 - Prob. 10.15PCh. 10 - Let X be a random variable on (0, 1) whose density...Ch. 10 - Prob. 10.1STPECh. 10 - Prob. 10.2STPECh. 10 - Prob. 10.3STPECh. 10 - If X is a normal random variable with mean and...Ch. 10 - Prob. 10.5STPE
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