?Simulation Data from the National Center for Health Statistics show that spina bifida occurs at the rate of 28 per 100,000 live births. Let the random

Chapter 6, Problem 22

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Simulation Data from the National Center for Health Statistics show that spina bifida occurs at the rate of 28 per 100,000 live births. Let the random variable X represent the number of occurrences of spina bifida in a random sample of 100,000 live births.

(a) What is the expected number of children with spina bifida per 100,000 live births in any given year?

(b) Using statistical software such as Minitab, simulate taking 200 random samples of 100,000 live births, assuming μ = 28.

(c) Approximate the probability that fewer than 18 births per 100,000 result in spina bifida.

(d) In 2005, 17.96 births per 100,000 resulted in babies born with spina bifida. In light of the results of parts (b) and (c), is this an unusual occurrence? What might you conclude?

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