Basic Computation: Normal Approximation to a Binomial Distribution Suppose we have a binomial experiment with n 5 40 trials and probability of success p 5 0.85.

(a) Is it appropriate to use a normal approximation to this binomial distribution? Why?

(b) Compute m and s of the approximating normal distribution.

(c) Use a continuity correction factor to convert the statement r , 30 successes to a statement about the corresponding normal variable x.

(d) Estimate P(r , 30).

(e) Interpretation Is it unusual for a binomial experiment with 40 trials and probability of success 0.85 to have fewer than 30 successes?

Explain.

AppendixLO1