Acertain type of electronic component has a lifetime y (in hours) with probability density function given by

f(y/θ) = { 1/θ^2 ye^(-y/θ)y> 0
0,

otherwise. that is, y has a gamma distribution with parameters
α=2 and θ.
let θ^ denote the mle of θ
. suppose that three such components, tested independently, had lifetimes of 120, 130, and 128 hours.

a) find the mle of θ.
b) find e(θ) and v (θ).
c) suppose that θ actually equals 130. give an approximate bound that you might expect for the error of estimation.
d) what is the mle for the variance of y?