Question

The joint probability distribution of two random variables X and Y is given in the following table

X Y → ↓	0	1	2	3	f(x)
2	1/12	1/12	1/12	1/12
3	1/12	1/6	1/12	0
4	1/12	1/12	0	1/6
f(y)

a) Find the marginal density of X and the marginal density of Y. (add them to the above table)

b) Are X and Y independent?

c) Compute the P{Y>1| X>2}

d) Compute the expected value of X.

e) Compute the probability that X is greater or equal to Y+1.

f) Compute the conditional probability distribution of X given Y=3.

Answer 1

ANSWER

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