{ ex for x < 0, f(x) = 0 otherwise.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 27SE: Prove that bx=exln(b) for positive b1 .
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Let X be a random variable. The probability density function of X is
given by {see picture}.

The following question are asked:

1)  Obtain the moment generating function of X, for t >−1.

2) Compute E(e2X ) and E(X3) by using the moment generating function of X.

 

If possible, can you give an explanation with the solution.

ex for x < 0,
f(x) =
0 otherwise.
Transcribed Image Text:ex for x < 0, f(x) = 0 otherwise.
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