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
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