In: Math
Please answer all parts of the question, with all work shown
Suppose there are 300 cards in a box numbered 1 through 300. Therefore, the number of each card has one, two, or three digits. A card is drawn at random from the box. Suppose that the number on the card has X digits of which Y are 0. Suppose we would like to know whether X and Y are correlated, negatively correlated, or uncorrelated. Determine Cov(X,Y)Cov(X,Y) and ρ(X,Y)ρ(X,Y), hence settling the question.