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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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 = 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:
f (x) =2{x,0,
f (x) =
x^4
,0<x<1
16
x^3
,0<x<2
4
f (x) =-
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 = 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: f (x) =2{x,0, f (x) = x^4 ,0<x<1 16 x^3 ,0<x<2 4 f (x) =- x^3 ,0<x<1 4 f (x) =- O None of these answers is correct.
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