The Joint probability mass function of a bivariate random variable $(X, Y)$ is given by shown in the table below: a. For what value of $k$ is the above a legitimate probability mass function? b. Find $P (X = 2 ? Y = 2)$ c. Find the $Cov (X, Y)$

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The Joint probability mass function of a bivariate random variable

(X, Y)

is given by shown in the table below: a. For what value of

k

is the above a legitimate probability mass function? b. Find

P (X = 2 ? Y = 2)

c. Find the

Cov (X, Y)

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