Apply the Central Limit Theorem to estimate the probability P(N ≤ 15).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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9) One hundred athletes is trying to qualify for the finals. Each of them has to pass the preliminary stage and the advanced stage. Each athlete passes the preliminary stage with the probability 0.6 and the advanced stage with probability 0.7 independently. Each athlete passes stages independently of all other athletes. Let N be the number of people who pass the preliminary stage and fail to pass the advanced stage. Apply the Central Limit Theorem to estimate the probability P(N ≤ 15).
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