Suppose that the random variables X,Y and Z have the following joint probability listribution. * y z f(x,y, z) 1 1 1 1 1 2 1 2 1 1 2 2 2 1 1 2 1 2 2 2 1 0.05 0.10 0.15 0.20 0.20 0.15 0.10 2 2 2 0.05 Determine the following
Suppose that the random variables X,Y and Z have the following joint probability listribution. * y z f(x,y, z) 1 1 1 1 1 2 1 2 1 1 2 2 2 1 1 2 1 2 2 2 1 0.05 0.10 0.15 0.20 0.20 0.15 0.10 2 2 2 0.05 Determine the following
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Suppose that the random variables X,Y and Z have the following joint probability
distribution.
z f(r, y, z)
1 1 1
1 1 2
1 2 1
1 2 2
2 1 1
2 1 2
0.05
0.10
0.15
0.20
0.20
0.15
2 2 1
0.10
2 2 2
0.05
Determine the following
(a) P(Z < 1.5)
(b) P(X = 1, Y = 1|Z = 2)
(c) P(X = 1 or Z = 2)
(d) Conditional probability distribution of X given that Y = 1 and Z = 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0f9a86e-4817-46ea-ae8b-5cbbf99cbe42%2F84f375ec-0821-4b5f-9833-3bcf2b7c9511%2F8beofxu_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that the random variables X,Y and Z have the following joint probability
distribution.
z f(r, y, z)
1 1 1
1 1 2
1 2 1
1 2 2
2 1 1
2 1 2
0.05
0.10
0.15
0.20
0.20
0.15
2 2 1
0.10
2 2 2
0.05
Determine the following
(a) P(Z < 1.5)
(b) P(X = 1, Y = 1|Z = 2)
(c) P(X = 1 or Z = 2)
(d) Conditional probability distribution of X given that Y = 1 and Z = 2.
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