QUESTION 1 a) Let X be a random variable with probability density function 3x2 - 4x + 2 0s x s1 f(x) = otherwise Find the density function of Y = X+3. b) Consider independent geometric variables Y,, Y2, Y3 which all having parameter p with moment generating functions, My, (t) = . i = 1,2,3 Calculate moment generating function of J = Y, + Y2 + Y3 to determine distribution of J and its %3D parameters.

QUESTION 1 a) Let X be a random variable with probability density function 3x2 - 4x + 2 0s x s1 f(x) = otherwise Find the density function of Y = X+3. b) Consider independent geometric variables Y,, Y2, Y3 which all having parameter p with moment generating functions, My, (t) = . i = 1,2,3 Calculate moment generating function of J = Y, + Y2 + Y3 to determine distribution of J and its %3D parameters.

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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