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A machine has 6 heat conductors, each with a life time that follows a lognormal distribution...

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Statistics

A machine has 6 heat conductors, each with a life time thatfollows a lognormal distribution with mean 866 hours and standarddeviation 40 hours. The machine needs to have at least 4 workingconductors to run.

a. What is the chance that the machine will run for at least 900hours if the 6 conductors were just replaced?

b. If there are 400 heat conductors, what is the probabilitythat no more than 90 will run for at least 900 hours?

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