The moment generating function of the exponential distribution with rate A is m(t) = , for t < A. Moreover, skewness of a random variable X is defined as X -Е(X) var(X) E Find the skewness for the standard exponential distribution.

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
Section13.3: Special Probability Density Functions
Problem 36E
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The moment generating function of the exponential distribution with rate
A is m(t) = for t < A. Moreover, skewness of a random variable X is defined as
X – E(X)
E
/var(X)
Find the skewmess for the standard exponential distribution.
Transcribed Image Text:The moment generating function of the exponential distribution with rate A is m(t) = for t < A. Moreover, skewness of a random variable X is defined as X – E(X) E /var(X) Find the skewmess for the standard exponential distribution.
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