The life (in months) of a certain computer component has a probability density function defined by f(x)=16e−x/6f(x)=16e-x/6for x in [0,∞)[0,∞). Find the probability that a component randomly selected will last between 14 and 23 months?

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter5: Probability: An Introduction To Modeling Uncertainty
Section: Chapter Questions
Problem 26P
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The life (in months) of a certain computer component has a probability density function defined by f(x)=16e−x/6f(x)=16e-x/6
for x in [0,∞)[0,∞). Find the probability that a component randomly selected will last between 14 and 23 months?

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