Please provide detail solution, thx

1. {10' points} Pick a random integer between 1 and BI] inclusive. Let X denote the number of digits and Y denote the number of zeros in the number. {a} [3 points} Without doing a computation, state whether you expect GovX, Y} to be positive, zero, or negative. Brieyr justifyr your answer. {b} [7 points) Compute Cov[X,Y}