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Q: Asking for assistance in understanding and solving this example on Probability and Statistical with the...

Q: Asking for assistance in understanding and solving this example on Probability and Statistical with the steps of the solution to better understand, thanks.

**Please give the step by steps with details to completely see how the solution came about.

1) Let the joint pmf of X and Y be defined by: f(x,y) = (x+y)/(33), x=1,2, y=1,2,3.

    (a) Find fx(x), the marginal pmf of X.

    (b) Find fy(y), the marginal pmf of Y.

    (c) Find P(X > Y).

    (d) Find P(Y = 2X).

    (e) Find P(X + Y = 3).

    (f) Find P(X \leq 3-Y).

    (g) Find X and Y independent or dependent? Why or why not?

    (h) Find the means and variances of X and Y.

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Answer #1

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