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Back to 9.2 Problems on Independent Classes of Random Variables

9.2 Exercise 27

Avg difficulty 2.5

Jim and Bill of the men's basketball team challenge women players Mary and Ellen to a free throw contest. Each takes five free throws. Make the usual independence assumptions. Jim, Bill, Mary, and Ellen have respective probabilities p=0.82,0.87,0.80p = 0.82 , 0.87 , 0.80, and 0.85 of making each shot tried. What is the probability Mary and Ellen make a total number of free throws at least as great as the total made by the guys?

Pfeiffer, Applied Probability, 9.2 Problems on Independent Classes of Random Variables, exercise 27

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.