One hundred items are simultaneously put on a life test. Suppose the lifetimes of the individual items are independent exponential random variables with mean 200 hours. The test wil end when there...

ExponentialFiveFailure.tm
One hundred items are simultaneously put on a life test. Suppose the lifetimes of the individual
items are independent exponential random variables with mean 200 hours. The test wil end when
there have been a total of 5 failures. If T is the time at which the test ends, �nd E(T) and Var(T).
Solution:
It is given that individual items are independent exponential random variables. It is given that
the mean of each exponential random variable is �= 1
200
. Therefore, the minimum of n=100 i.i.d
exponential random variables with � is...