Question 2 Customers arrive at a bank according to a Poisson process at a rate of 100 per hour. 20% of them make only a deposit, 30% of them make only a withdrawal and the remaining 50% are there only...

Extracted text: Question 2 Customers arrive at a bank according to a Poisson process at a rate of 100 per hour. 20% of them make only a deposit, 30% of them make only a withdrawal and the remaining 50% are there only to complain. Deposit amounts are distributed with a mean of 8,000 and a standard deviation of 1,000. Withdrawal amounts have a mean of 5,000 and a standard deviation of 2,000. The number of customers and their activities are independent. Using the Normal approximation, calculate the probability that in an 8 hour day the total withdrawal of the bank will exceed the total deposits.