Question: X-Linked Recessive Disorders. A genetics expert has determined that for certain couples, there is a 0.25 probability that any child will have an X-linked recessive disorder.

1. Find the probability that among 200 such children, at least 65 have the X-linked recessive disorder.
2. A subsequent study of 200 actual births reveals that 65 of the children have the X-linked recessive disorder. Based on these sample results, construct a 95% confidence interval for the proportion of all such children having the disorder.
3. Based on parts (a) and (b), does it appear that the expert’s determination of a 0.25 probability is correct? Explain

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