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Let X, Y be two random variables with a joint pmf f(x,y)=(x+y)/12 x=1,2 and y=1,2 zero...

Let X, Y be two random variables with a joint pmf

f(x,y)=(x+y)/12 x=1,2 and y=1,2

zero elsewhere

a)Are X and Y discrete or continuous random variables?

b)Construct and joint probability distribution table by writing these probabilities in a rectangular array, recording each marginal pmf in the "margins"

c)Determine if X and Y are Independent variables

d)Find P(X>Y)

e)Compute E(X), E(Y), E(X^2) and E(XY)

f)Compute var(X)

g) Compute cov(X,Y)

Math   Statistics-And-Probability   
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