Suppose that two electronic components in the guidance system for a missile operate independently and that each has a length of life governed by the exponential distribution with mean 2 (with measurements in hundreds of hours).'
a) Use the Distribution Function method to find the c.d.f. and p.d.f. for Y_bar = (Y1+Y2)/2, the Average of the two lifetimes.
b) Find the mean and variance of this average, using the answer in part (a).