Toss a fair coin 3 times. Let X = the number of heads on the first toss, Y the total number of heads on the last two tosses, and F the number of heads on the first two tosses. (a) Give the joint probability table for X and Y . Compute Cov(X, Y ). (b) Give the joint probability table for X and F. Compute Cov(X, F).

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Toss a fair coin 3 times. Let X = the number of heads on the first toss, Y the total

number of heads on the last two tosses, and F the number of heads on the first two tosses.

(a) Give the joint probability table for X and Y . Compute Cov(X, Y ).

(b) Give the joint probability table for X and F. Compute Cov(X, F).

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