Let X and Y be the number of scores made by the host and visiting teams in a football game, respectively. The jaint probability massfunction of X and Y is given in the table below.P(x, y)120.36 0.14 0.100.10 0.020.10 0.02 | 0.020.10.142a) Is X and Y independent?b) What is E(X)?) Let z = XY. Find the probability mass function values of ZP(Z=0) =P(Z=1) =P(Z=2) =P(Z-3) -P(Z=4) =P(Z=5) =

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Let X and Y be the number of scores made by the host and visiting teams in a football game, respectively. The jaint probability mass function of X and Y is given in the table below. P(r, y) 0. 1 0.36 0.14 0.10 0.14 0.10 | 0.02 0.10 0.02 0.02 1 2 a) Is X and Y independent? b) What is EOX)? ) Let Z = XY. Find the probability mass function values of Z P(Z=0) = P(Z-1) = P(Z=2) = P(Z-3) - P(Z=4) = P(Z-5) =