The weight of a sophisticated running shoe is normally distributed with a mean of 12 ounces and a standard deviation of 0.5 ounce.
What is the probability that a shoe weighs more than 13 ounces?
What must the standard deviation of weight be inorder for the company to state that 99.9% of its shoes are less than 13 ounces?
If the standard deviation remains at 0.5 ounce, what must the mean weight be in order for the company to state that 99.9% of its shoes are less than 13 ounces?