Question

Many people grab a granola bar for breakfast or for a snack to make it through the afternoon slump at work. A Kashi GoLean Crisp Chocolate Caramel bar weighs 45 grams. The mean amount of protein in each bar is 8 grams. Suppose the amount of protein in the bars have a normal distribution with a standard deviation of 0.32 grams and a random Kashi bar is selected.

1. What is the probability that the amount of protein is between 7.15 and 8.6 grams?
2. What amount of protein will be in the top 20.9% of all bars?
3. Find a symmetric interval about the mean such that 98.02% of all amounts of protein lie in this interval.
4. Suppose the amount of protein is at least 8.7 grams. What is the probability that it is more than 9 grams?

Answer 1