9. Let the random variable U have a U(0, 1) distribution. We want to draw random numbers from a distribution with density I f(x) = { 2x2, 0, Which random variable X has density a. X = 1 + √U b. X = 1+U² d. X = 2 - U e. X = 2 - U² 1≤x≤ 2, otherwise, function f? c. X = 1 + U f. X = 2-√U
9. Let the random variable U have a U(0, 1) distribution. We want to draw random numbers from a distribution with density I f(x) = { 2x2, 0, Which random variable X has density a. X = 1 + √U b. X = 1+U² d. X = 2 - U e. X = 2 - U² 1≤x≤ 2, otherwise, function f? c. X = 1 + U f. X = 2-√U
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 29CR
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Transcribed Image Text:9. Let the random variable U have a U(0, 1) distribution. We want to draw random
numbers from a distribution with density
I
f(x)
=
{2
2x2,
1≤x≤ 2,
otherwise,
Which random variable X has density function f?
a. X = 1 + √U
b. X = 1+U2
d. X = 2 - U
e. X = 2 - U²
c. X = 1 + U
f. X = 2-√U
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