For the random variables x and y in problem 421 find ma the


For the random variables X and Y in Problem 4.2.1, find

(a) The expected value of W = Y/X,

(b) The correlation, E[XY],

(c) The covariance, Cov[X, Y], (d) The correlation coefficient, ρX,Y ,

(e) The variance of X + Y, Var[X + Y].

Problem 4.2.1

Random variables X and Y have the joint PMF

(a) What is the value of the constant c?

(b) What is P[Y

(c) What is P[Y > X]?

(d) What is P[Y = X]?

(e) What is P[Y = 3]?

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Basic Statistics: For the random variables x and y in problem 421 find ma the
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