Question: In a survey of adults, 68% thought that DNA tests for identifying an individual were very reliable. You randomly select 24 adults and ask each if she or he thinks DNA tests for identifying an individual are very reliable.

(a) Decide whether you can use the normal distribution to approximate the binomial distribution. If not, explain why. If so, find the mean and the standard deviation.

(b) Find the probability that at most 15 people say DNA tests for identifying an individual are very reliable.