Suppose we have a binomial experiment with n = 40 trials and a probability of success p = 0.85.

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

b) Compute µ 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.\\r\\n

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 30 or more successes? Explain  \\r\\n