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Data collected over a long period of time showed that a particular genetic defect occurs in 1 of every 1000 children. Let X be the random variable "number of children with genetic defect in a sample of 50,000 children examined". The records of a medical clinic show X = 60 children.
a) What is the probability of observing a value of X equal to 60 or more?
b) Would you say that the observation of X = 60 children with genetic defect was rather unlikely?
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Using the same p' and level of confidence, suppose that n were increased to 100. Would the error bound become larger or smaller? How do you know?
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