X = 2R % X is calculated with this formula. Then the random variable X generated by this code has the distribution with probability density function given by:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 6E
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Consider the following algorithm generating a random variable X in pseudocode. % denotes a comment that is not part of the code.
R = RAND(0,1) % a random uniformly distributed number R between 0 and 1 is chosen
X = 2/R % X is calculated with this formula.
Then the random variable X generated by this code has the distribution with probability density function given by:
O f(x) =2{x,0<x<1
x^4
= (x)f
16
0<x<1
x^3
f (x) =-, 0<x<2
4
x^3
-,0<x<1
4
f (x) =
O None of these answers is correct.
Transcribed Image Text:Consider the following algorithm generating a random variable X in pseudocode. % denotes a comment that is not part of the code. R = RAND(0,1) % a random uniformly distributed number R between 0 and 1 is chosen X = 2/R % X is calculated with this formula. Then the random variable X generated by this code has the distribution with probability density function given by: O f(x) =2{x,0<x<1 x^4 = (x)f 16 0<x<1 x^3 f (x) =-, 0<x<2 4 x^3 -,0<x<1 4 f (x) = O None of these answers is correct.
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