The waiting time in years for a certain type of fan-belt to fail is known to...
The waiting time in years for a certain type of fan-belt to fail is known to have a distribution function, f(x)= 1/3 e-x/3, with an average waiting time of 3 years. Let the random variable X denote the waiting time to failure of a randomly selected fan-belt.
Find the value of ksuch that P(X≤k)=0.6.
If we have been waiting at least 5 years, what is the probability the total waiting
time will be at least 6 years?
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