Using the Central Limit Theorem

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MIT 6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013
Instructor: Jagdish Ramakrishnan

License: Creative Commons BY-NC-SA
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Thanks to all the videos :)) I got a question on (c) ; i think P(N>=220) = P(S219<=1000) is kinda approximation. Since the problem set the model of X as Normal(5, 3), there’s a non-zero probability of X being negative. Thus following situation can happen: S218 = 1000 —> S219 = 999. And actually approximate probability of X being negative is 0.2, not that small to ignore.

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Smooth walk-through. Regarding answer to (b), I think it's 1642, not 1632.

bole