Question

3. A manufacturer of booklets packages them in boxes of 100. It is known that, on the average, a booklet weighs 30 grams, with a standard deviation of 1.5 grams. The manufacturer is interested in calculating Prob[100 booklets weigh more than 3.3 kg], a number that would help detect whether too many booklets are being put in a box. Explain how you would approximate the value of this probability reliably. Carefully describe your steps and indicate the use of any relevant theorems or assumptions. [5 marks]

Answer 1

Let random variable x denote the weights of a booklet