Let the random variable X have the moment generating function e³t M(t) = 1-t²-1

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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 12E
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Let the random variable X have the moment generating function
M(t) =
e³t
1-t²
=
-1 < t < 1
What are the mean and the variance of X, respectively?
Transcribed Image Text:Let the random variable X have the moment generating function M(t) = e³t 1-t² = -1 < t < 1 What are the mean and the variance of X, respectively?
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