Suppose that the random variables X, Y, and Z have the following joint probability distribution f(x,y,z) 2 1 4 0.03 1 0.09 2 4. 0.13 0.22 3 1 0.23 1 0.17 4 0.11 3 2 0.02 Determine the following: (a) P(X = 3) (b) P(Z > 2.5) (c) P(X = 2 or Z 2) 4-

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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3
Suppose that the random variables X, Y, and Z have the following joint probability distribution
X
f(x,y,z)
2
1
4
0.03
2
0.09
4
0.13
2
0.22
3
1
4
0.23
3
1
2
0.17
3
4
0.11
2
0.02
Determine the following:
(a) P(X 3)
(b) P(Z > 2.5)
(c) P(X = 2 or Z = 2)
(d) E(X)
(e) P(X = 2, Y = 1|Z 2)
(f) Conditional probability distribution of X given that Y =1 and Z 2
2.
2.
2.
3.
Transcribed Image Text:Suppose that the random variables X, Y, and Z have the following joint probability distribution X f(x,y,z) 2 1 4 0.03 2 0.09 4 0.13 2 0.22 3 1 4 0.23 3 1 2 0.17 3 4 0.11 2 0.02 Determine the following: (a) P(X 3) (b) P(Z > 2.5) (c) P(X = 2 or Z = 2) (d) E(X) (e) P(X = 2, Y = 1|Z 2) (f) Conditional probability distribution of X given that Y =1 and Z 2 2. 2. 2. 3.
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