Some previous studies have shown a relationship between emergency-room admissions per day and level of pollution on a given day. A small local hospital finds that the number of admissions to the emergency ward on a single day ordinarily (unless there is unusually high pollution) follows a Poisson distribution with mean = 1.9 admissions per day. Suppose each admitted person to the emergency ward stays there for exactly 1 day and is then discharged. You may need to use the appropriate technology to answer this question. (a) The hospital is planning a new emergency-room facility. It wants enough beds in the emergency ward so that for at least 95% of normal-pollution days it will not need to turn anyone away. What is the smallest number of beds it should have to satisfy this criterion? beds (b) The hospital also finds that on high-pollution days the number of admissions is Poisson-distributed with mean = 3.9 admissions per day. The hospital is planning for high-pollution days. It wants enough beds in the emergency ward so that for at least 95% of high-pollution days it will not need to turn anyone away. What is the smallest number of beds it should have to satisfy this criterion? days. beds (c) On a random day during the year, what is the probability there will be 4 admissions to the emergency ward, assuming there are 350 normal-pollution days and 15 high-pollution days? (Round your answer to four decimal places.) (d) The hospital is planning a new emergency-room facility. It wants enough beds in the emergency ward so that for on a random day during the year at least 95% of days it will not need to turn anyone away, assuming there are 350 normal-pollution days and 15 high-pollution days. What is the smallest number of beds it should have to satisfy this criterion? beds