$(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)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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)
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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