You have a deck of ten cards, labelled 1,2,...,10, which you have shuffled thoroughly.Turn over the top card and call its valueX. Then turn over the next four cards and setYto be the number of cards you turned over with labels strictly smaller than X.

1) Write down the conditional distribution ofYgiven{X=x}, including parameter(s).

2)FindE(Y|X)

3)FindE(Y)

4) Find Cov(X,Y).