The percentage of locomotive controls failing on warranty

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Binomial p, zero and solve for the ML estimate A. Suppose Y, has a binomial distribution with probability p, and sample size n,, k = 1, ..., K, and the Y, are statistically independent

a) Write the likelihood function for Y,, . . . , Y,.

(b) Derive the ML estimatefi for p,,.

(d) Calculate the true asymptotic variance and standard error of P.

(e) Give the expression for large-sample two-sided approximate 1OOy% confidence limits for po.

(f) Calculate such two-sided 95% confidence limits for the percentage of locomotive controls failing on warranty (Chapter 3). Y= 15 of n =96 sample controls failed on warranty.

(g) Compare (f) with exact binomial limits and the limits from Problem 8.5~.

Reference no: EM131056586

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