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

Basic Computation: Normal Approximation to a Binomial Distribution Suppose we have a binomial experiment with n 5 40 trials and a probability of success p 5 0.50.

(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 $ 23 successes to a statement about the corresponding normal variable x.

(d) Estimate P(r $ 23).

(e) Interpretation Is it unusual for a binomial experiment with 40 trials and probability of success 0.50 to have 23 or more successes? Explain.

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