12 A random variable Y has the density function f(y): lo, Sex, y < 0, elsewhere. (a) Find E(e7Y/2). E(e7Y/2) = (b) Find the moment-generating function for Y. m(t): = (c) Find V(Y). V(Y) = = ,t> -1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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12
A random variable Y has the density function
f(y)
- Sey, y < 0,
(0, elsewhere.
=
(a) Find E(e7Y/2).
E(e7Y/2) =
(b) Find the moment-generating function for Y.
m(t) =
(c) Find V(Y).
V(Y) =
,t> -1
Transcribed Image Text:12 A random variable Y has the density function f(y) - Sey, y < 0, (0, elsewhere. = (a) Find E(e7Y/2). E(e7Y/2) = (b) Find the moment-generating function for Y. m(t) = (c) Find V(Y). V(Y) = ,t> -1
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