Question: A random sample of size 8 x1 = 1, x 2 = 0, x 3 = 1, x 4 = 1, x 5 = 0,

A random sample of size 8—x1 = 1, x2 = 0, x3 = 1, x4 = 1, x5 = 0, x6 = 1, x7 = 1, and x8 = 0—is taken from the probability function

Px (k; 0) = 0k (1 - 0)-k, k=0, 1; 0

Find the maximum likelihood estimate for θ.

Px (k; 0) = 0k (1 - 0)-k, k=0, 1; 0

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