Explanation Given: The shelf life (in years) of a laser pointer battery is a continuous random variable with probability density function, f ( x ) = { 1 ( x + 1 ) 2 if x ≥ 0 0 otherwise . Result used: If [ c , d ] is a subinterval of ( − ∞ , ∞ ) , then the probability ( c ≤ x ≤ d ) = ∫ c d f ( x ) d x , where f ( x ) is the probability density function of the continuous random variable X . Calculation: The given probability density function of the continuous random variable is f ( x ) = { 1 ( x + 1 ) 2 if x ≥ 0 0 otherwise

Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)

13th Edition

ISBN: 9780321869838

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen

Publisher: PEARSON

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Chapter 6.2, Problem 28E

To determine

To find: The value of d so that the probability of randomly selected laser pointer battery lasting d years or less is 0.5

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Chapter 6.2, Problem 27E

Chapter 6.2, Problem 29E

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Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)

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