A group of patients with a potentially fatal disease has been treated with an experimental drug. Assume

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A group of patients with a potentially fatal disease has been treated with an experimental drug. Assume the survival time X for a patient receiving the drug is a random variable exponentially distributed with density function


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where x is the number of years a patient survives after first receiving the drug.


a. Research indicates that the expected survival time for a patient receiving the drug is 5 years. Based on this information, what is k?


b. Using the density function determined in part (a), what is the probability that a randomly selected patient survives for less than 2 years?


c. What is the probability that a randomly selected patient survives for more than 7 years?

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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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