Please note that this question has seven parts. You may need to scroll the screen down, navigate left and right to see the whole problem. Clearly label your parts when answering. You are allowed three pictures for this problem. Must use pen to answer. Must Show all calculations/steps. Failure to do so will result in a score of "0" even final answer is correct. In a small town, Banks operate their business Monday to Friday. To serve its customers better, MY Bank operates on Saturdays too. Due to the low volume of business MY Bank has only one employee at the front desk (one serving counter) to serve customers. For simplification consider the following activities of front desk employee. Customer Activity A1: Withdrawals/deposits from/in Bank Account A2: Pay Bills only A3: Withdrawals/deposits and Pay Bills A4: Cash withdrawals from Credit Card Bank Staff Time required Probability 2 minutes 15% 3 minutes 20% 6 minutes 30% Varies 35% Time required to perform activities are stated in the above table except for the last activity. For activity "Cash withdrawals from Credit Card, Bank staff has to get approval from the issuer of the credit card. Time required for completing this activity varies widely as per following table: Bank Staff Time required for Activity Cash withdrawals from Credit Card" 6 minutes 7 minutes 9 minutes Probability 30% 20% 50% Customers arrive to the MY Bank uniformly, once every 5 minutes, with the first customer arriving just as the door opens, i.e., at 10:00am. Simulate the customer activities for the first seven customers. Use the following streams of random numbers for your simulation: Random Numbers for Customer Activity: 0.43, 0.34, 0.12, 0.65, 0.54, 0.79, 0.94, 0.62, 0.18, 0.24 Random Number for Cash withdrawal from Credit Card: 0.75, 0.49, 0.22, 0.39, 0.69, 0.78, 0.42 NOTE: Use random number only where required, you may not need to use all random numbers. (Support Work will be needed to answer questions.) (a) Specify appropriate random number mapping/s for the given problem then simulate the customer activities for first seven customers. (b) What are the total time customers have to wait in line to be served (for all the seven customers)? (c) What is the total time the Bank staff was idle while serving the first seven customers? (d) What is the total time the Bank staff spent in serving the first seven customers? (e) What proportions of customer have to wait in line during serving first seven customers? (f) Among the first seven customers, how many customers engaged in the activity "Withdrawals/deposits and Pay Bills"? (g) What time did the Bank staff finish serving customer #6? Please note that this question has seven parts. You may need to scroll the screen down, navigate left and right to see the whole problem. Clearly label your parts when answering. You are allowed three pictures for this problem. Must use pen to answer. Must Show all calculations/steps. Failure to do so will result in a score of "0" even final answer is correct. In a small town, Banks operate their business Monday to Friday. To serve its customers better, MY Bank operates on Saturdays too. Due to the low volume of business MY Bank has only one employee at the front desk (one serving counter) to serve customers. For simplification consider the following activities of front desk employee. Customer Activity A1: Withdrawals/deposits from/in Bank Account A2: Pay Bills only A3: Withdrawals/deposits and Pay Bills A4: Cash withdrawals from Credit Card Bank Staff Time required Probability 2 minutes 15% 3 minutes 20% 6 minutes 30% Varies 35% Time required to perform activities are stated in the above table except for the last activity. For activity "Cash withdrawals from Credit Card, Bank staff has to get approval from the issuer of the credit card. Time required for completing this activity varies widely as per following table: Bank Staff Time required for Activity Cash withdrawals from Credit Card" 6 minutes 7 minutes 9 minutes Probability 30% 20% 50% Customers arrive to the MY Bank uniformly, once every 5 minutes, with the first customer arriving just as the door opens, i.e., at 10:00am. Simulate the customer activities for the first seven customers. Use the following streams of random numbers for your simulation: Random Numbers for Customer Activity: 0.43, 0.34, 0.12, 0.65, 0.54, 0.79, 0.94, 0.62, 0.18, 0.24 Random Number for Cash withdrawal from Credit Card: 0.75, 0.49, 0.22, 0.39, 0.69, 0.78, 0.42 NOTE: Use random number only where required, you may not need to use all random numbers. (Support Work will be needed to answer questions.) (a) Specify appropriate random number mapping/s for the given problem then simulate the customer activities for first seven customers. (b) What are the total time customers have to wait in line to be served (for all the seven customers)? (c) What is the total time the Bank staff was idle while serving the first seven customers? (d) What is the total time the Bank staff spent in serving the first seven customers? (e) What proportions of customer have to wait in line during serving first seven customers? (f) Among the first seven customers, how many customers engaged in the activity "Withdrawals/deposits and Pay Bills"? (g) What time did the Bank staff finish serving customer #6