Question: 11.10 (Requires Section 11.3 and calculus) Suppose a random variable Y has the following probability distribution: Pr1Y = 12 = p, Pr1Y = 22 =

11.10 (Requires Section 11.3 and calculus) Suppose a random variable Y has the following probability distribution: Pr1Y = 12 = p, Pr1Y = 22 = q, and Pr1Y = 32 = 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.

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