Apply the Central Limit Theorem to estimate the probability P(N ≤ 15).

MATLAB: An Introduction with Applications
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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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