QUESTION 3 In a private hospital in Alor Star, the number of emergency admissions each day is found to have a Poisson distribution with mean 2. a) What is the probability that on a particular day there will be no emergency admissions? (2 marks) CONFIDENTIAL JUN2022/STA116 b) At the beginning of one particular day, the hospital has 4 beds available for emergencies. Calculate the probability that there will be an insufficient number of beds for that day. (2 marks) C) What is the probability that there will be at least 5 emergency admission in the next three days? (2 marks) d) Find the probability that fewer than 3 emergency admissions within 45 hours. (3 marks) e) Calculate the expected number of emergency admissions in a week. (1 mark)