In a certain city, the probability that it rains on any given day is 1/3. Approximate the probability that it will rain more than 345 times during the next 1000 days (assuming that whether it rains or not on a given day does not depend on what happens on other days). You can leave the answer as an integral. Hint: you could use the Central Limit Theorem.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In a certain city, the probability that it rains on any given day is 1/3. Approximate the probability that it will rain more than 345 times during the next 1000 days (assuming that whether it rains or not on a given day does not depend on what happens on other days). You can leave the answer as an integral.
Hint: you could use the Central Limit Theorem.

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