Write a computer program using the Newton–Raphson algorithm to maximize the likelihood for a binomial sample. For π̂ = 0.3 based on n = 10, print out results of the first six iterations when the starting value π⁽⁰⁾ is (a) 0.1, (b) 0.2, . . . , (i) 0.9. Summarize the effects of the starting value on speed of convergence. What happens if it is 0 or 1?