7.110 A pizza company advertises that it puts 0.5 pounds of real mozzarella cheese on its medium pizzas. In fact, the amount of cheese on a randomly selected medium pizza is normally distributed with a mean value of 0.5 pounds and a standard deviation of 0.025 pounds.

a. What is the probability that the amount of cheese on a medium pizza is between 0.525 and 0.550 pounds?

b. What is the probability that the amount of cheese on a medium pizza exceeds the mean value by more than 2 standard deviations?

c. What is the probability that three randomly selected medium pizzas all have at least 0.475 pounds of cheese?