The weight of a particular chip in the manufacturing process of a certain notepad computer must be between 40 and 50 grams. It is known that the standard deviation of the weight of the chip, which is normally distributed, is 3 grams. a. If the actual mean weight is 45 grams, what proportion of chips will meet the specifications? b. If the mean weight is recalibrated to 48 grams what proportion of the chips will meet the specifications? c. If the mean weight is 45 grams, how small should the standard deviation be so that 99% of the chips meet the specifications?