A manufacturer of booklets packages them in boxes of 100. It is known that, on the average, the booklets weigh 1 ounce, with a standard deviation of .05 ounce. The manufacturer is interested in calculating
P(100 booklets weigh more than 100.4 ounces),
a number that would help detect whether too many booklets are being put in a box. Explain how you would calculate the (approximate?) value of this probability. Mention any relevant theorems or assumptions needed.