a) The length of time necessary to tune up a car is exponentially distributed with B = 1.4 hours. If two cars are waiting for a tune-up and the service times are independent. Find the expected value of the total tune-up time of the two cars.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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a) The length of time necessary to tune up a car is exponentially distributed with B = 1.4 hours.
If two cars are waiting for a tune-up and the service times are independent. Find the expected
value of the total tune-up time of the two cars.
b) A system is composed of n independent components connected in series. The probability density
function of time to failure of each component is exponential with B. What is the probability
distribution of the time to failure of the system? Substantiate your response.
Transcribed Image Text:a) The length of time necessary to tune up a car is exponentially distributed with B = 1.4 hours. If two cars are waiting for a tune-up and the service times are independent. Find the expected value of the total tune-up time of the two cars. b) A system is composed of n independent components connected in series. The probability density function of time to failure of each component is exponential with B. What is the probability distribution of the time to failure of the system? Substantiate your response.
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