he number of customers waiting for gift-wrap service at a department store is an rvXwith possible values 0, 1, 2, 3, 4 and corresponding probabilities 0.1, 0.2, 0.3, 0.25, 0.15. A randomly selected customer will have 1, 2, or 3 packages for wrapping with probabilities0.5,0.35, and0.15, respectively. LetY= the totalnumber of packages to be wrapped for the customers waiting in line (assume that the number of packages submitted by one customer is independent of the number submitted by any other customer).

(a)

DetermineP(X= 3,Y= 3), i.e.,p(3, 3). (Round your answer to four decimal places.)

P(X= 3,Y= 3) =

(b)

Determinep(4, 11). (Round your answer to four decimal places.)

p(4, 11) =