Question

A Security Pacific Bank branch has opened up a drive through teller window. There is a single service lane, and customers in their cars line up in a single line to complete bank transactions. The average time for each transaction to go through the teller window is exactly four minutes. Throughout the day, customers arrive independently and largely at random at an average rate of ten customers per hour.

1) What is the probability that there are exactly 3 cars in the bank's teller window system?

Select one:

a. 0.9944

b. 0.0988

c. 0.8008

d. 0.0048

2) What is the probability that there are at least 5 cars in the system?

Select one:

a. 0.0878

b. 0.0311

c. 0.9222

d. 0.1317

3) What is the average time in minutes that a car spends in the system?

Select one:

a. 20 minutes

b. 12 minutes

c. 10 minutes

d. 15 minutes

4) What is the probability that more than 6 cars will arrive in an hour?

Select one:

a. 0.9329

b. 0.7798

c. 0.8699

d. 0.6672

5) What is the probability that a customer gets to complete his/her transaction within 5 minutes

Select one:

a. 0.9833

b. 0.2865

c. 0.8528

d. 0.7135

6) What percentage of time is the drive-through teller window system idle?

Select one:

a. 25.00%

b. 33.33%

c. 40.00%

d. 75.00%

Answer 1