(c) Suppose a bank operates 8 hours a day from 09:00 to 17:00 and the number of elderly customers entering the bank is c
Posted: Thu May 05, 2022 8:15 pm
(c) Suppose a bank operates 8 hours a day from 09:00 to 17:00 and the number of elderly customers entering the bank is counted for every exact hour (i.e. 09:00-10:00, 10:00-11:00, etc.). It is known that the number of elderly customers entering the bank follows a Poisson distribution with a variance of 7 per hour. (i) What is the probability that there will be 6 elderly customers entering the bank per hour in 2 consecutive hours? Correct the final answer to 4 decimal places. (3 marks) (ii) What is the probability that there are exactly 4 hours in a randomly selected day having 6 elderly customers entering the bank per hour? Correct the final answer to 4 decimal places. (3 marks)