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.It is estimated that 3.6% of the general population will live past their 90th birthday. In a graduating class of 758 high school seniors, find the following probabilities. (Round your answers to four decimal places.) (a) 15 or more will live beyond their 90th birthday (b) 30 or more will live beyond their 90th birthday(c) between 25 and 35 will live beyond their 90th birthday

Four friends, Janice, Barbara, Kathy and Roberta, decided to carpool together to get to school. Each day the driver would be chosen by randomly selecting one of the four names. They carpool to school for 92 days. Use the normal approximation to the binomial to calculate the following probabilities. Round the standard deviation to four decimal places. (Round your answers to four decimal places.)  (a) Find the probability that Janice is the driver at most 18 days. (b) Find the probability that Roberta is the driver more than 13 days. (c) Find the probability that Barbara drives exactly 23 of those 92 days.

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 64 current unsolved murders. Find the following probabilities. (Round your answers to four decimal places.)   (a) at least 35 of the victims knew their murderers(b) at most 48 of the victims knew their murderers(c) fewer than 30 victims did not know their murderers(d) more than 20 victims did not know their murderers

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. More than a decade ago, high levels of lead in the blood put 90% of children at risk. A concerted effort was made to remove lead from the environment. Now, suppose only 11% of children in the United States are at risk of high blood-lead levels. (a) In a random sample of 198 children taken more than a decade ago, what is the probability that 50 or more had high blood-lead levels? (Round your answer to three decimal places.) (b) In a random sample of 198 children taken now, what is the probability that 50 or more have high blood-lead levels? (Round your answer to three decimal places.) US V O 2:14 & 6. b m