In a race of 10 sailboats, the finishing times of all boats are iid Gaussian random variables with expected value 35 minutes and standard deviation 5 minutes. a) What is the probability that the winning boat will finish the race in less than 25 minutes? b) What is the probability that the last boat will cross the finish line in more than 50 minutes? c) Given this model, what is the probability that a boat will finish bofore it starts (negative finishing time)?

In a race of 10 sailboats, the finishing times of all boats are iid Gaussian random variables with expected value 35 minutes and standard deviation 5 minutes. a) What is the probability that the winning boat will finish the race in less than 25 minutes? b) What is the probability that the last boat will cross the finish line in more than 50 minutes? c) Given this model, what is the probability that a boat will finish bofore it starts (negative finishing time)?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 59E

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