8. A random variable has a probability density function given by (4 x - 1 f(x) = 0 ≤ x ≤ 1, ≤ 2, 1 ≤ x otherwise. (This is the same PDF as in the previous question.) A computer simulation will be used in which a sample of the random variable will need to be made. Determine and describe a method to create a way to sample a random variable with the probability density function given above.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 30CR
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8.
A random variable has a probability density function given by
0 ≤ x ≤ 1,
1 ≤ x ≤ 2,
otherwise.
f(x)
=
{
x - 1
(This is the same PDF as in the previous question.) A computer simulation will be used
in which a sample of the random variable will need to be made. Determine and describe a
method to create a way to sample a random variable with the probability density function
given above.
Transcribed Image Text:8. A random variable has a probability density function given by 0 ≤ x ≤ 1, 1 ≤ x ≤ 2, otherwise. f(x) = { x - 1 (This is the same PDF as in the previous question.) A computer simulation will be used in which a sample of the random variable will need to be made. Determine and describe a method to create a way to sample a random variable with the probability density function given above.
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