$(x): (26) 6. Using the identity just established, show that the corresponding MGF is: M(t) = e+ut (27)
$(x): (26) 6. Using the identity just established, show that the corresponding MGF is: M(t) = e+ut (27)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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
Transcribed Image Text:Exercise 7. Prove the algebraic identity:
+ æt = -* - (µ +o²t))² o²4?
202
202
+ µt
(25)
2
Recall the normal density was the function o(x),-∞ < x <∞, defined by:
1
$(x) =
(26)
Using the identity just established, show that the corresponding MGF is:
M(t) = e+ut
(27)
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