5. A total of n. halls are tossed into 10 hins as follows: eaeh hall is tossed independently and has an equal probability of 0.1 of falling; into Bin Li = 112, . . . , 10. Let Y denote the number of halls in Bin 1. Let Z denote the total number of halls in Bins 610. ({1} Determine the pmf of Y. Hint: Think binomial distribution. (h) Determine the pnif of Z. (c) Determine the conditional pmf p(z|y]. Clearly specify the range of y and z. ((1) Determine the conditional pmf p[y|z]. Clearly specify the range of y and z