To validate its claim that there are "2 scoops of raisins" in every box of Kellogg's Raisin Bran, the company hires an independent counsulting firm to count the number of raisins in 1500 randomly selected boxes.The consulting firm notes the following summary statistics:

Average Number of Raisins (per box): 256 raisins

Standard Deviation: 22.5 raisins

a) Assuming a Normal model can be applied to the sample, explain what the 68-95-99.7% rules predicts about raisins in boxes of Raisin Bran.Answer in complete sentences.

b) Use the 68-95-99.7% rule to predict the percentage of Raisin Bran boxes that have less than 211 raisins.Answer with a complete sentence