9. (Method of Moments and Maximum Likelihood, 8 points)
The exponential random variable is given by
f(x) = lamba(e^-lamba(x)), x (greater or equal to) 0.
a) Recall that EX = 1/lamba. Use the method of moments to estimate lamba.
b) Find the maximum likelihood estimate of lamba.
This solution helps with a problem regarding method of moments and maximum likelihood.