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Suppose you roll one fair six-sided die and then flip as many coins as the number showing on the die. (For example, if the die

Suppose you roll one fair six-sided die and then flip as many coins as the number showing on the die. (For example, if the die shows 4, then you flip four coins.) Let X be the number showing on the die, and Y be the number of heads obtained.

a) Formulate the joint PMF fX,Y [x, y].

b) Compute Cov(X,Y).

c) Compute Corr(X,Y).

d) Interpret the correlation value.

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