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Probability: Joint Probability Mass Function, Covariance and VarianceLet X and Y have joint probability mass function Pr{X = i, Y = j}= c(i + 1)(j + 2) for i >= 0, j >= 0, and i + j < 4. Determinea) the marginal probability mass function of Xb) the probability mass function of Yc) the conditional probability mass function of X given Y = 0d) the probability mass function of Z = X + Ye) the conditional probability mass function of Z given X = 0f) the mean of Xg) the expected value of Yh) the mean of Zi) the variance of Xj) the variance of Yk) the variance of Zl) the mean of XYm) the covariance of X and Yn) the mean of X conditioned on Y=0
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