A professor divided the students in her business class into three groups: those who have never taken a statistics class, those who have taken only one semester of a statistics class, and those who have taken two or more semesters of statistics. The professor randomly assigns students to groups of three to work on a project for the course. 65% of the students have never taken a statistics class, 15% have taken only one semester of a statistics class, and the rest have taken two or more semesters of statistics. Round your answers to three decimal places. a. What is the probability that the first groupmate you meet has studied at least two semesters of statistics? b. What is the probability that the first groupmate you meet has studied some statistics? c. What is the probability that neither of your two groupmates has studied any statistics?
A professor divided the students in her business class into three groups: those who have never taken a statistics class, those who have taken only one semester of a statistics class, and those who have taken two or more semesters of statistics. The professor randomly assigns students to groups of three to work on a project for the course. 65% of the students have never taken a statistics class, 15% have taken only one semester of a statistics class, and the rest have taken two or more semesters of statistics. Round your answers to three decimal places.
a. What is the probability that the first groupmate you meet has studied at least two semesters of statistics?
b. What is the probability that the first groupmate you meet has studied some statistics?
c. What is the probability that neither of your two groupmates has studied any statistics?
d. What is the probability that your two groupmates have studied at least one semester of statistics?
e. What is the probability that at least one of your two groupmates has studied more than one semester of statistics?
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