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:

Neural Networks

A set of algorithms, modeled loosely after the human brain, designed to recognize patterns. They interpret sensory data through a kind of machine perception, labeling, or raw input.

Central Nervous System

The part of the nervous system consisting of the brain and spinal cord, responsible for processing and sending out information to and from all parts of the body.

Axons

Long, threadlike parts of a nerve cell along which impulses are conducted from the cell body to other cells.

Sympathetic Nervous

Part of the autonomic nervous system that activates the "fight or flight" response during perceived threats.