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.

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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.
Transcribed Image 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.
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