This problem is similar to an Soa Question, but this time it asks for expected value of the min(X,Y), and I am not sure of how to go about doing the problem

The problem is:

An electronic device consists of two components. The lifetimes of the two components are identically distributed with the following common density function:

f_x(x)={3/2e^-3x +9/2e^-9x} for x >0

The device will break down if any of the two components fails. Find the epected lifetime of the device.

ans: a. 18 b. 12 c. 9 d. 6 e. 3

Thank you

The problem is:

An electronic device consists of two components. The lifetimes of the two components are identically distributed with the following common density function:

f_x(x)={3/2e^-3x +9/2e^-9x} for x >0

The device will break down if any of the two components fails. Find the epected lifetime of the device.

ans: a. 18 b. 12 c. 9 d. 6 e. 3

Thank you

## Comment