Answered: 1) Find the MGF of the random variable… | bartleby

Calculus For The Life Sciences

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

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

1) Find the MGF of the random variable X, the pdf is given by
x E [0,1)
,x E [1,5)
,otherwise
f(x) = }5-x
Hence, find its mean and variance.

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