In a large introductory Statistics lecture hall, the professorreports that 55% o

Question

In a large introductory Statistics lecture hall, the professorreports that 55% of the students enrolled have never taken acalculus course,32% have taken only one semester of calculus,andthe rest have taken two or more semesters of calculus.The professorrandomly assigns students to groups of three to work on a projectfor the course.What is the probability that the first groupmate youmeet has studied a) no more than one semester of Calculus? b) Some Calculus? In a large introductory Statistics lecture hall, the professorreports that 55% of the students enrolled have never taken acalculus course,32% have taken only one semester of calculus,andthe rest have taken two or more semesters of calculus.The professorrandomly assigns students to groups of three to work on a projectfor the course.What is the probability that the first groupmate youmeet has studied a) no more than one semester of Calculus? b) Some Calculus?

Explanation / Answer

A. So the probability that the first groupmate you meethas studied no more than one semester of Calculus - that's the sameas picking a random student from the class. Since 55% hasnever taken a calculus course, and 32% have taken only 1 - that's55% + 32% = 87%. B. Some calculus = at least 1 course, which is 32% (onecourse) + 13% (1-55-32, 2 or more) = 45%

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