(8) The moment generating function of the random variable X having the probability density function f(x) = (;) x²e¬*,-o < x < ∞ is:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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(8) The moment generating function of the random variable X having the probability
density function f(x) =
x²e-*,-o << x < o is:
1
1
(a) for It| <1
(b)
for |t| < 1
(1-t)3
(1-t)2
1
(c) s for |t| <1
(d) for |t| <1
(1-t)5
(1-t)4
Transcribed Image Text:(8) The moment generating function of the random variable X having the probability density function f(x) = x²e-*,-o << x < o is: 1 1 (a) for It| <1 (b) for |t| < 1 (1-t)3 (1-t)2 1 (c) s for |t| <1 (d) for |t| <1 (1-t)5 (1-t)4
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