Distribution of time that a flashlight can operate
I am wondering if I can get help on the following problem:
If we have a stock of n batteries, each has a lifetime that is exponential
with parameter c and they are independent of each other.
If a flashlight needs 2 batteries, what is the lifetime that the flashlight can operate?
I have 2 solutions that I can think of:
1) The lifetime of the minimum (X,...Xn).
2) The lifetime of the min(Xi,Xj) multiply by all possible pairs, 2 choose n.