Let X be a discrete random variable with moment generating function Mx(t) = ¹⁄e ¹ + e-³t+1e³t (a) Find E[X]. (b) Find Var[X]. = (c) Find the moment generating function My(t) of Y = 3X + 5 for t 2.
Let X be a discrete random variable with moment generating function Mx(t) = ¹⁄e ¹ + e-³t+1e³t (a) Find E[X]. (b) Find Var[X]. = (c) Find the moment generating function My(t) of Y = 3X + 5 for t 2.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![Let X be a discrete random variable with moment generating function
-t
Mx(t) = ¹e¹+e-³¹ + 1e³t
е
-3t
(a) Find E[X].
(b) Find Var[X].
(c) Find the moment generating function My(t) of Y = 3X + 5 for t = 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff316efbb-9e65-469e-bdde-f3c49a257ac3%2F2b4a7b5b-4c6b-4615-ab71-1a89ceaee7a3%2Fs1w2gjs_processed.png&w=3840&q=75)
Transcribed Image Text:Let X be a discrete random variable with moment generating function
-t
Mx(t) = ¹e¹+e-³¹ + 1e³t
е
-3t
(a) Find E[X].
(b) Find Var[X].
(c) Find the moment generating function My(t) of Y = 3X + 5 for t = 2.
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