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According to a​ study, 75​% of all males between the ages of 18 and 24 live...

According to a​ study,

75​%

of all males between the ages of 18 and 24 live at home. ​ (Unmarried college students living in a dorm are counted as living at​ home.) Suppose that a survey is administered and

158

of

200

respondents indicated that they live at home.​ (a) Use the normal approximation to the binomial to approximate the probability that at least

158158

respondents live at home.​ (b) Do the results from part​ (a) contradict the​ study?

​(a)

​P(X≥158​)=

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