In: Statistics and Probability
A machine has 6 heat conductors, each with a life time that follows a lognormal distribution with mean 866 hours and standard deviation 40 hours. The machine needs to have at least 4 working conductors to run.
a. What is the chance that the machine will run for at least 900 hours if the 6 conductors were just replaced?
b. If there are 400 heat conductors, what is the probability that no more than 90 will run for at least 900 hours?