A binomial experiment consisting of n trials resulted in Bernoulli observations y₁, y₂, . . . , y_n, where

and P(y_i = 1) = p, P(y_i = 0) =  1 - p. Let Y =  ∑ⁿ_i=1 y_i be the number of successes in n trials.
a. Find the moment estimator of p.
b. Is the moment estimator unbiased?
c. Find the maximum likelihood estimator of p. L = p^y(1 - p)^n-y.
d. Is the maximum likelihood estimator unbiased?

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(1 if the ith trial was a success S1 Yi = 10 if not