In: Statistics and Probability
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 | 0.01 | 0.06 | 0.02 | 0.10 |
5 | 0.04 | 0.16 | 0.20 | 0.10 | |
10 | 0.01 | 0.15 | 0.14 | 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 =