Question: The random variables X and Y have the joint PMF pX,Y(x,y)={c(x+y)2,ifx{1,2,4}andy{1,3} 0, otherwise. Find the value of the constant c, Find P(Y

The random variablesX andY have the joint PMF

pX,Y(x,y)={c(x+y)2,ifx{1,2,4}andy{1,3}

0, otherwise.

  1. Find the value of the constantc,
  2. FindP(YP(Y=X)
  3. Find the expectationsE[X] andE[XY] and the the variance ofX

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