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1) At a university, 15% of the students are freshman; the sophomores, juniors, and seniors combined make up 60% of the students; the remaining 25% of the students are graduate students.
A group of 3 students is to be selected at random from among all students to serve on the President's Evaluation Committee. If each of the selections is independent of all other selections, what is the probability that the group of students selected will be 3 freshman or 3 graduate students? (Round your answer to 3 decimal places.)
2) Over time an appliance store has determined that 55% of customers buy a particular washer (W) or a particular dryer (D). They also know that 43% of customers buy the washer and 22% buy the dryer.
Determine the percentage of customers that purchase both the washer (W) and the dryer (D).
3) Over time an appliance store has determined that 55% of customers buy a particular washer (W) or a particular dryer (D). They also know that 43% of customers buy the washer and 22% buy the dryer.
Are purchasing the washer and the dryer independent events?
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Would your list change if the purchasing manager's buying decision involved a low-cost item (say, pens)? Why or why not?
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