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.