Explanation Given: The time interval ( in minute ) between incoming telephone calls on its toll-free 800 line is between 10 A .M and 2 P .M . The probability density function is shown below. f ( t ) = 1 30 e − t 30 Concept used: The probability that an observed value of the random variable X lies in the interval [ a , b ] can be expressed as below. P ( a ≤ X ≤ b ) = ∫ a b f ( x ) d x ...... ( 1 ) Here, f ( x ) is the probability density function. Calculation: It is given that the time interval from 10 A .M and 2 P .M . Convert 2 min into sec as, 1 min = 60 sec 2 min = 60 ⋅ 2 sec =120 sec Consider P ( X > 120 ) as the probability that the time interval between successive calls is more than 2 min . It is given that the probability density function is f ( t ) = 1 30 e − t 30

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Chapter 10.1, Problem 47E

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Chapter 10.1, Problem 46E

Chapter 10.1, Problem 48E

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Chapter 10 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences

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The probability that the time interval between successive calls is more than 2 min .

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Chapter 10 Solutions