You are babysitting for two children, Abby and Bill. They have a bucket of 30 crayons, 20 of which are unbroken, and the other 10 are broken. They each choose a crayon, without replacement. Let X = 1 if Abby gets an unbroken crayon, and X = 0 otherwise. Similarly, let Y = 1 if Bill gets an unbroken crayon, and Y = 0 otherwise.
a. Find the covariance of X and Y.
b. Find the correlation of X and Y.
Find (a) the covariance, and (b) the correlation of the random variables X and Y defined in Exercises 39.5-39.15