The Time It Takes a Worker on an Assembly Line

question 18

Essay

The time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 8 minutes.
a.What is the probability density function for the time it takes to complete the task?
b.What is the probability that it will take a worker less than 4 minutes to complete the task?
c.What is the probability that it will take a worker between 6 and 10 minutes to complete the task?
​

---

Definitions:

Variable Expense

A cost that varies with the level of output or sales, such as raw materials or sales commissions.

Fixed Selling and Administrative Expense

Costs that do not change with the level of production or sales, such as salaries of executive personnel and advertising expenses.

Selling and Administrative Expense Budget

A financial plan outlining the projected expenses for selling activities and general administrative functions of a business.

Variable Expense

Costs that vary directly with the level of output or sales, including materials and labor costs.