Please answer the following. Take a picture of your solution and box your answer: Then upload it for submission. * A city has two small hospitals one at the south end and the other at the north end. Let it denote the number oi south beds occupied at a particular timeon a given day, and let li' denote the number of north beds occupied at the same time on the same stay. The following is the joint probability distribution: 1. What is the probability that no beds while be occupied at the north hospital while the south hospital is fully occupied? 2. What is the probability the sum of occupied beds oftbe two hospgg' is at most 6? 3. Compute the probability that at least 1 bed will be occupied at the somh hospital and at least 1 bed at the north hospital? Ah what is the probability that at least one of the two hospitals has no beds occupied? 5. Which hospital has a higher of occupancy rate? Justify