Suppose the length of time that it takes a laboratory rat to traverse a certain maze is

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Suppose the length of time that it takes a laboratory rat to traverse a certain maze is measured by a random variable X that is exponentially distributed with density function


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where x is the number of minutes a randomly selected rat spends in the maze.


a. Find the probability that a randomly selected rat will take more than 3 minutes to traverse the maze.


b. Find the probability that a randomly selected rat will take between 2 and 5 minutes to traverse the maze.


c. Find the expected time required for a randomly selected laboratory rat to traverse the maze.

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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