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Mathematics, 23.09.2020 14:01 swtnru4509

In honor of Prince/the artist formally known as Prince, you create a playlist of 16 of his greatest hits. Let Xi be the length of the ith song (in seconds) on the playlist. Assume that each Xi is distributed by a uniform random variable between 394 and 406 seconds, independent of the length of the other songs. Use the Central Limit Theorem to approximate the probability that your playlist of 16 songs is between 6000 and 6440 seconds long.

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