2) Seventy-five percent of U. S. mothers with school-age children choose fast food as a dining
option for their families one to three times a week. You randomly select ten U. S. mothers with
school-aged children and ask whether they choose fast food as a dining option for their families
one to three times a week. The random variable represents the number of U. S. mothers who
choose fast food as a dining option for their families one to three times a week.
(a) Find the mean, variance, and standard deviation for the binomial distribution. (6 points)
(b) If ten mothers chose fast food as a dining option for their families one to three times a week,
would this be considered an unusual event? Be sure to justify your answer using mathematics.
(4 points)
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