Chocolate-coated Sugar Fun Blast cereal is filled in boxes by weight. The weight of the boxes is approximately normally distributed with a mean of 16 ounces and a standard deviation of 0.2 ounces.
a) What is the probability that the box you buy (chosen at random) will weigh less than 15.5 ounces?
b) What is the probability that the box you buy will weigh between 16 and 16.25 ounces?
c) What do you expect the box you buy to weigh?
d) How much do the heaviest 10% of the full boxes of cereal weigh?
e) What is the range for the middle 50% of the cereal box weights?