In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.
What are the chances that a person who is murdered actually knew the murderer? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim! About 62% of people who are murdered actually knew the person who committed the murder. Suppose that a detective file in New Orleans has 62 current unsolved murders. Find the following probabilities. (Round your answers to four decimal places.)