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A random sample X1, X2, ..... Xn is drawn from a distribution with probability mass function: P{X = -1} = p and P{X -1} =

A random sample X1, X2, ..... Xn is drawn from a distribution with probability mass function:

P{X = -1} = p and P{X -1} = 1-p

a) Find the maximum likelihood estimate for p

b) Find the bias, variance and MSE of the obtained estimator

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