2) MMSE and MAP estimation of the parameter of an exponential distribution (20 pts.) Consider observations following the conditional probability density function given 0 = 0: Po(y) = -Oy if y 0 otherwise Suppose that our prior information about is that it also has an exponential distribution with density: ae w(0) = if 0> 0 otherwise where a 0. Please calculate the MMSE and the MAP estimate for the 0.