The weight of a mechanical component is normally distributed with a mean of 22 oz. and a standard deviation of 0.5 oz. a) What is the probability that a component weighs more than 23 oz.? b) What must the standard deviation of weight be in order for the company to state that 99.9% of its components are less than 23 oz.? c) If the standard deviation remains at 0.5 oz., what must the mean weight be in order for the company to state that 99.9% of its components are less than 23 oz.