a) Evaluate the marginal distribution of X and Y. b) Find P(Y/X) and P(X/Y). c) Find P(Y=2/X=3).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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4- Suppose that X and Y have the following joint probability distribution
y
2 4
1 ГО.1
0.151
Р(Х, Y) — х3 |0.2
5 Lo.1
0.3
0.15
a) Evaluate the marginal distribution of X and Y.
b) Find P(Y/X) and P(X/Y).
c) Find P(Y=2/X=3).
d) Find ux , Hy, o, o and oxy.
Transcribed Image Text:4- Suppose that X and Y have the following joint probability distribution y 2 4 1 ГО.1 0.151 Р(Х, Y) — х3 |0.2 5 Lo.1 0.3 0.15 a) Evaluate the marginal distribution of X and Y. b) Find P(Y/X) and P(X/Y). c) Find P(Y=2/X=3). d) Find ux , Hy, o, o and oxy.
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