1. What does Chebyshev's theorem tell us about the probability of getting at most 30 or at least 105 numbers 6, if a normal die is thrown 405 times?

2. The Mexican mint produces 10-peso coins with a mean diameter of 0.5 inches and a standard deviation of 0.01 inches. If we select a lot of 400 coins, find a lower bound for the probability that the diameter of these coins will be between 0.48 and 0.52 inches?