In the second part of this lab, we will practice more with maximum likelihood estimation. Suppose that Y; is a random variable which can take values y = 0, 1, 2, 3, .. .. The probability of each possible observation is P(Y; = y) = y! where 1 is an unknown parameter. (Recall that y! = y(y - 1)(y - 2) ... (2)(1)). To estimate 1, we observe a sample of n observations, Y1, Y2, . .., Y,. For an estimate 1, the likelihood is therefore - 2 L(A) = II i= 1 YA! Question 12 Calculate the maximum likelihood estimate of 1. Show all your steps