About 10% of individuals who begin the Navy SEALs selection process will graduate as a Navy SEAL. There is a tough CrossFit workout called Murph, named after a SEAL officer who was killed in action. Let’s suppose that of the individuals who pass the SEAL selection process, 70% can finish Murph in less than 30 minutes, and of the individuals who do not pass the SEAL selection process, 5% can finish Murph in under 30 minutes. Your friend Mike enrolled in the SEAL selection process, but you don’t yet know the results. Mike’s best Murph time is 37 minutes. What is the probability Mike successfully graduated as a Navy SEAL?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Probability

About 10% of individuals who begin the Navy SEALs selection process will graduate as a Navy SEAL. There is a tough CrossFit workout called Murph, named after a SEAL officer who was killed in action. Let’s suppose that of the individuals who pass the SEAL selection process, 70% can finish Murph in less than 30 minutes, and of the individuals who do not pass the SEAL selection process, 5% can finish Murph in under 30 minutes. Your friend Mike enrolled in the SEAL selection process, but you don’t yet know the results. Mike’s best Murph time is 37 minutes. What is the probability Mike successfully graduated as a Navy SEAL?

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