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Consider the continuous random variable x with probability density function 15x²e-5xx3 for x ≥ 0 £x(x) = 0 otherwise a) Give your R-code to verify that f (x) is a valid density function.

Consider the continuous random variable x with probability density function 15x²e-5xx3 for x ≥ 0 £x(x) = 0 otherwise a) Give your R-code to verify that f (x) is a valid density function.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Consider the continuous random variable x with probability density function 15x²e-5mx3 for x ≥ 0 fx(x) = { 0 otherwise a) Give your R-code to verify that f(x) is a valid density function. b) Give your R-code to compute P(X < 0.75 IX>0.5) - c) Give your R-code to compute Var (X).
Transcribed Image Text:Consider the continuous random variable x with probability density function 15x²e-5mx3 for x ≥ 0 fx(x) = { 0 otherwise a) Give your R-code to verify that f(x) is a valid density function. b) Give your R-code to compute P(X < 0.75 IX>0.5) - c) Give your R-code to compute Var (X).
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