Question: (Requires Section 11.3 and calculus) Suppose that a random variable y has the following probability distribution: Pr(Y - 1) = p. Pr(Y2) = q. and

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

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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