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Let ?(?, ?) = 3 2 ? 2?, 0 ≤ ? ≤ 1, 0 ≤ ?...

Let ?(?, ?) = 3 2 ? 2?, 0 ≤ ? ≤ 1, 0 ≤ ? ≤ 2

a. Compute the marginal probability mass functions for ? and ?

b. Are ? and ? independent? Why?

c. Compute ??, ?? 2 , ??, and ?? 2 .

d. Compute ???(?, ?) and the correlation coefficient

e. Find ?(? > ?)

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