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Mathematics, 20.03.2020 20:32 manco6

A four year old is going to spin around with his arms stretched out 100 times. From past experience, his father knows it takes approximately 1/2 second to perform one full spin, with a standard deviation of 1/3 second. What is the approximate probability that it will take this child over 55 seconds to complete spinning?

Compute the answer both with Chebyshev’s inequality and with the CLT.

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