Answered: a) Compute the Moment Generating… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 19E

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Let X and Y be two normally distributed continuous random variables with mean 1 and 2 and standard
deviations 2 and 4. Assume that they are independent.
a) Compute the Moment Generating Function of X +Y.
b) Find the probability density function of X +Y.

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