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A fair die is thrown 360 times. Use Chebychev's inequality to determine a lower bound for the probability of getting 50 to 70 one's.

A fair die is thrown 360 times.

Use Chebychev's inequality to determine a lower bound for the probability of getting 50 to 70 one's.

Use the CLT to determine a approximate value for the probability of getting 50 to 70 one's.

Instead of using the normal table, express your answer in terms of the function Φ(x), with x selected as an appropriate number.


The answer is 0.587 for part 1 and 1 - 2 Φ(-sqrt2) for part 2.

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