Consider the following density function: 4e-7 So(u) = {0 120, I<0. %3D Find the moment generating function of X randomi variable. O a. He (t) = , assuming that t < 4 O b. 4, (t) = , assuming that t <7 O c. Ha (t) = assuming that t < 7 %3D O d. 4 (1) = , assuming that t< 4 O e. H, (t) = , assuming that t< 4 %3D

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.CR: Chapter 13 Review
Problem 22CR
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Consider the following density function:
Sa(e) = {*
# 2 0,
I<0.
4e-7z
Find the moment generating function of X random variable.
O a. Hz (t) = assuming that t < 4
7-4t
O b. 4z (t) = assuming that t <7
O C. He (t) = assuming that t < 7
O d. 4, (t) = , assuming that t < 4
O e. 4z (t) = , assuming that t< 4
4-54
Transcribed Image Text:Consider the following density function: Sa(e) = {* # 2 0, I<0. 4e-7z Find the moment generating function of X random variable. O a. Hz (t) = assuming that t < 4 7-4t O b. 4z (t) = assuming that t <7 O C. He (t) = assuming that t < 7 O d. 4, (t) = , assuming that t < 4 O e. 4z (t) = , assuming that t< 4 4-54
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