Explanation Given: A manufacturer guarantees a product for 1 year. The time to failure of the product after it is sold is given by the probability density function, f ( x ) = { 0.01 e − 0.01 t if t ≥ 0 0 otherwise . Result used: If [ c , d ] is a subinterval of ( − ∞ , ∞ ) , then 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: 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

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 31E

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To find: The probability that the product will last at least 1 year.

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Chapter 6.2, Problem 30E

Chapter 6.2, Problem 32E

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Chapter 6 Solutions

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

Ch. 6.1 - Matched Problem 1 Find the area bounded by f(x) =...Ch. 6.1 - Matched Problem 2 Find the area between the graph...Ch. 6.1 - Prob. 3MP Ch. 6.1 - Matched Problem 4Find the area bounded by f(x) =6 ...Ch. 6.1 - Matched Problem 5Find the area bounded by f(x)=2x2...Ch. 6.1 - Matched Problem 6Find the area (to three decimal...Ch. 6.1 - Prob. 7MP Ch. 6.1 - Prob. 1ED Ch. 6.1 - In Problems 18, use geometric formulas to find the...Ch. 6.1 - In Problems 18, use geometric formulas to find the...

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