Exponential Operating Time and Lognormal Repair Time (20 considered the long-run availability of a system with an assum epair time. In a given example, repair time follows a lognor Determine the following: time is greater than five time units that a repair time is less than eight time units given that its repair time

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Chapter1: Combinatorial Analysis
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An article in Applied Mathematics and Computation ["Confidence Intervals for Steady State
Availability of a System with Exponential Operating Time and Lognormal Repair Time" (2003,
Vol. 137(2), pp. 499-509)] considered the long-run availability of a system with an assumed
lognormal distribution for repair time. In a given example, repair time follows a lognormal
distribution with 0= w = 1. Determine the following:
a Probability that repair time is greater than five time units
b Conditional probability that a repair time is less than eight time units given that it is
more than five time units
c Mean and variance of repair time
Transcribed Image Text:An article in Applied Mathematics and Computation ["Confidence Intervals for Steady State Availability of a System with Exponential Operating Time and Lognormal Repair Time" (2003, Vol. 137(2), pp. 499-509)] considered the long-run availability of a system with an assumed lognormal distribution for repair time. In a given example, repair time follows a lognormal distribution with 0= w = 1. Determine the following: a Probability that repair time is greater than five time units b Conditional probability that a repair time is less than eight time units given that it is more than five time units c Mean and variance of repair time
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