Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

تمرين 72

Basic Computation: Normal Approximation to a Binomial Distribution Suppose we have a binomial experiment with n = 40 trials and a probability of success p = 0.50.
(a) Is it appropriate to use a normal approximation to this binomial distribution Why
(b) Compute and 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.