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; θ) = θ^k(1 − θ)^1−k, k = 0, 1; 0 < θ < 1

Find the maximum likelihood estimate for θ.