1 A certain flight arrives on time 78 of the time Suppose 11

1. A certain flight arrives on time 78% of the time. Suppose 112 flights are randomly selected. Use normal approximation to the binomial to approximate the probability that the choices are on time a) exactly 97 b) at least 97 c) fewer than 84 d) between 84 and 87, inclusive 2. In studies for a medication, 12 percent of patients gained weight as a side effect. Suppose 424 patients are randomly selected. Use normal approximation to the binomial to approximate the probability that the choices will gain weight a) exactly 47 patients b) 47 or fewer c) 53 or more d) between 47 and 52, inclusive 3. According to a study, 58% of all females between the ages of 18 and 24 live at home. Suppose that a survey is administered and 139 of 234 respondents indicated they live at home. a) Use the normal approximation to the binomial to approximate the probability that at least 139 respondents live at home b) do the results from part a) contradcit the study?

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