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 88% 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 188 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 188 children taken now, what is the
probability that 50 or more have high blood-lead levels? (Round
your answer to three decimal places.)
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