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 83% of children at risk. A concerted effort was made to remove lead from the environment. Now, suppose only 10% of children in the United States are at risk of high blood-lead levels. (a) In a random sample of 210 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 210 children taken now, what is the probability that 50 or more have high blood-lead levels? (Round your answer to three decimal places.) Submit Answer

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 8CR
Question
None
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 83% of children at risk. A concerted effort was made to remove lead from the environment.
Now, suppose only 10% of children in the United States are at risk of high blood-lead levels.
(a) In a random sample of 210 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 210 children taken now, what is the probability that 50 or more have high blood-lead levels? (Round your answer to
three decimal places.)
Submit Answer
Transcribed Image Text: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 83% of children at risk. A concerted effort was made to remove lead from the environment. Now, suppose only 10% of children in the United States are at risk of high blood-lead levels. (a) In a random sample of 210 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 210 children taken now, what is the probability that 50 or more have high blood-lead levels? (Round your answer to three decimal places.) Submit Answer
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,