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 81% of children at risk. A concerted effort was made to remove lead from the environment. Now, suppose only 14% of children in the United States are at risk of high blood-lead levels. (a) In a random sample of 190 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 190 children taken now, what is the probability that 50 or more have high blood-lead levels? (Round your answer to three decimal places.)

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.Ocean fishing for billfish is very popular in the Cozumel region of Mexico. In the Cozumel region about 42% of strikes (while trolling) resulted in a catch. Suppose that on a given day a fleet of fishing boats got a total of 22 strikes. Find the following probabilities. (Round your answers to four decimal places.)   (a) 12 or fewer fish were caught(b) 5 or more fish were caught(c) between 5 and 12 fish were caught

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.Do you try to pad an insurance claim to cover your deductible? About 41% of all U.S. adults will try to pad their insurance claims! Suppose that you are the director of an insurance adjustment office. Your office has just received 130 insurance claims to be processed in the next few days. Find the following probabilities. (Round your answers to four decimal places.)   (a) half or more of the claims have been padded(b) fewer than 45 of the claims have been padded(c) from 40 to 64 of the claims have been padded(d) more than 80 of the claims have not been padded