In Prob. 11, find the mean , substitute it in f(x), find the maximum likelihood estimate of

In Prob. 11, find the mean μ, substitute it in f(x), find the maximum likelihood estimate of μ, and show that it is identical with the estimate for μ which can be obtained from that for θ in Prob. 11.

Data from Prob. 11

f(x) = θe^-θx if x ≥ 0 and f(x) = 0 if x < 0.