In the following problem, check that it is appropriate to usethe normal approximation to the binomial. Then use the normaldistribution to estimate the requested probabilities.
What are the chances that a person who is murdered actually knewthe murderer? The answer to this question explains why a lot ofpolice detective work begins with relatives and friends of thevictim! About 68% of people who are murderedactually knew the person who committed the murder.†Suppose that adetective file in New Orleans has 65 currentunsolved murders. Find the following probabilities. (Round youranswers to four decimal places.)
(a) at least 35 of the victims knew theirmurderers
(b) at most 48 of the victims knew theirmurderers
(c) fewer than 30 victims did not know theirmurderers
(d) more than 20 victims did not know theirmurderers
