Customers Arrive at a Drive-Through Teller Window of a Bank

question 5

Short Answer

Customers arrive at a drive-through teller window of a bank. They stay in line when the teller is busy. The service time is exponentially distributed with a mean of four minutes.
A) What is the probability that the next customer in line will take longer than seven minutes to be served?
B) What is the probability that the next customer in line will take less than eight minutes to be served?
C) What is the probability that the next customer in line will take between three and six minutes to be served?

• A) What is the probability that the next customer in line will take longer than seven minutes to be served?
• B) What is the probability that the next customer in line will take less than eight minutes to be served?
• C) What is the probability that the next customer in line will take between three and six minutes to be served?

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Definitions:

Delay Payment

The act of postponing a payment until a later time, often resulting in additional fees or interest.

Interest Rate

The percentage of a loan that comes with an interest charge to the borrower, often stated as an annual percentage of the loan balance.

Interest

The cost of borrowing money or the profit from lending it, typically expressed as an annual percentage of the principal.

Airline Ticket

An airline ticket is a document, typically electronic, that confirms a passenger’s reservation on a flight and includes details such as flight number, date, and seat assignment.