11.10 (Requires Section 11.3 and calculus) Suppose that a random variable Y has the following probability distribution: Pr(Y = 1) = p, Pr(Y = 2) = q, and Pr(Y = 3) = 1 - p - q. A random sample of size n is drawn from this distribution, and the random variables are denoted Y1, Y2,

c, Yn.

a. Derive the likelihood function for the parameters p and q.

b. Derive formulas for the MLE of p and q.