(All Steps) A random sample of size 8, X 1 = 1, X 2 = 0, X 3 = 1, X 4 = 1, X 5 = 0, X 6 = 1, X 7 = and X 8 = 0, is taken from the probability function p_X(k;θ
Question: A random sample of size 8, X 1 = 1, X 2 = 0, X 3 = 1, X 4 = 1, X 5 = 0, X 6 = 1, X 7 = and X 8 = 0, is taken from the probability function
\[{{p}_{X}}\left( k;\theta \right)={{\theta }^{k}}{{\left( 1-\theta \right)}^{1-k}}\]Find the maximum likelihood estimate for \(\theta \).
Deliverable: Word Document 