[Solution Library] Should you use the binomial distribution? In each of the following situations, is it reasonable to use a binomial distribution for the
Question: Should you use the binomial distribution? In each of the following situations, is it reasonable to use a binomial distribution for the random variable \(X\) ? Give reasons for your answer in each case.
- In a random sample of students in a fitness study, \(X\) is the mean systolic blood pressure of the sample.
- A manufacturer of running shoes picks a random sample of the production of shoes each day for a detailed inspection. Today's sample of 20 pairs of shoes includes one pair with a defect.
- A nutrition study chooses an SRS of college students. They are asked whether or not they usually eat at least five servings of fruits or vegetables per day. \(X\) is the number who say that they do.
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