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:

Layoff Cost

The financial impact associated with the termination of employees traditionally as a result of downsizing, restructuring, or automation.

Hiring And Training Cost

Expenses incurred in recruiting, hiring, and training new employees.

Regular Time Cost

This refers to the expenses associated with normal operations and working hours, excluding any overtime or special circumstances costs.

Over Time Cost

The added expense incurred from having employees work beyond their regular working hours.