X and Y are two independent discrete random Variables. The CDFs as follows: x 0 4 5 F(x) 0.3 0.6 1 y 1 5 7 9 F(y) 0.2 0.5 0.6 1 Z is new random variable defined as Z = 3X+4Y+2. Find the following: Moment generating function of z: A table consisting of values of z and F(z) Find the first moment of Z

X and Y are two independent discrete random Variables. The CDFs as follows: x 0 4 5 F(x) 0.3 0.6 1 y 1 5 7 9 F(y) 0.2 0.5 0.6 1 Z is new random variable defined as Z = 3X+4Y+2. Find the following: Moment generating function of z: A table consisting of values of z and F(z) Find the first moment of Z

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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Question

X and Y are two independent discrete random Variables. The CDFs as follows:

x	0	4	5
F(x)	0.3	0.6	1

y	1	5	7	9
F(y)	0.2	0.5	0.6	1

Z is new random variable defined as Z = 3X+4Y+2. Find the following:

Moment generating function of z:
A table consisting of values of z and F(z)
Find the first moment of Z

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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