Some previous studies have shown a relationship betweenemergency-room admissions

Some previous studies have shown a relationship betweenemergency-room admissions per day and level of pollution on a givenday. A small local hospital finds that the number of admissions tothe emergency ward on a single day ordinarily (unless there isunusually high pollution) follows a Poisson distribution with mean= 2.0 admissions per day. Suppose each admitted person to theemergency ward stays there for exactly 1 day and is thendischarged. 4.71 The hospital is planning a new emergency-roomfacility. It wants enough beds in the emergency ward so that for atleast 95% of normal-pollution days it will not need to turn anyoneaway. What is the smallest number of beds it should have to satisfythis criterion? 4.72 The hospital also finds that on high-pollutiondays the number of admissions is Poisson-distributed with mean =4.0 admissions per day. Answer Problem 4.71 for high-pollutiondays.