Discrete random variables X and Y have the following joint probability distribut

Question

Discrete random variables X and Y have the following joint probability distribution Compute the correlation coefficient rho XY. Compute the probability P(Y 2, X = 0). Compute the probability P(Y 2|X = 0). If this is a game and you win $(100X + 10Y2) each time you play this game. What is the expected amount you win per game? There is a third random variable Z which is independent from Y. The mean and variance for Z are given as mu z = 1 and . Compute the mean and variance of the linear combination 2Y - 4Z.

Explanation / Answer

b>.>.P(Y>=2, X=0)........ we get 0.1............c?>.P(Y>=2/X=0)=o.1/0.3= 1/3.........c>.10.1$.................................mwean =-3.4.......2-0.5= 1.5

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