Question

An instructor has given a short quiz consisting of two parts. For a randomly selected student,...

An instructor has given a short quiz consisting of two parts. For a randomly selected student, let X = the number of points earned on the first part and Y = the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in the accompanying table.

y

p(x, y)

  
0 5 10 15
x 0 0.03 0.06 0.02 0.10
5 0.04 0.16 0.20 0.10
10 0.01 0.15 0.12 0.01

(a) Compute the covariance for X and Y. (Round your answer to two decimal places.)
Cov(X, Y) =  

(b) Compute ρ for X and Y. (Round your answer to two decimal places.)
ρ =  

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