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?
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Definitions:

Direct Materials

Raw materials that are directly traceable to the manufacturing of a product.

Factory Overhead

All indirect costs associated with manufacturing, including but not limited to utilities, maintenance of equipment, and factory staff salaries, excluding direct labor and direct materials.

Absorption Costing Income Statement

An income statement format that incorporates the full cost of manufacturing a product, including both fixed and variable manufacturing costs, in determining the cost of goods sold.

Gross Profit

The difference between revenue and the cost of goods sold, indicating the efficiency of a company in managing its labor and supplies in the production process.