(Solved): (a) Display the joint pmf of x and Y in a joint probability table. (b) Compute and Y<=1 by addi ...

(a) Display the joint pmf of

and

in a joint probability table. (b) Compute and

by adding probabilities from the joint pmf, and verify that this equals the product of

and

. (c) Express the event that the total number of beds occupied at the two hospitals combined is at most 1 in terms of

and

.

Calculate this probability. (d) What is the probability that at least one of the two hospitals has no beds occupied?