Question
Let X and Y be two discrete random variables, with joint PMF: pX,Y (x, y) = c(x2 +y2) = 0 if x{1,3,4} and y{2,3} otherwise
Let X and Y be two discrete random variables, with joint PMF:
pX,Y (x, y) = c(x2 +y2)
= 0 if x{1,3,4} and y{2,3} otherwise
(a) (5 points) Find the value of c.
(b) (5 points) Find P(Y < X).
(c) (5 points) Find the PMF of X.
(d) (5 points) Find the variance of X.
(e) (5 points) Find E[XY ].
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Mathematical Analysis And Its Applications Roorkee, India, December 2014
Authors: P N Agrawal, R N Mohapatra, Uaday Singh, H M Srivastava
1st Edition
813222485X, 9788132224853
