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 is 45 grams, and the mean amount of protein in each bar is 8 grams. Suppose the distribution of protein in a bar is normally distributed and the standard deviation is 0.15 gram, and a random Kashi bar is selected.

a) What is the probability that the amount of protein is between 7.6 and 8.2 grams?
b) What is the probability that the amount of protein is more than 8.41 grams?
c) What amount of protein will be in the top 15% of all bars?
d) Find a symmetric interval about the mean such that 92% of all amounts of protein lie in this interval.
e) Suppose the amount of protein is at least 8.1 grams. What is the probability that it is more than 8.3 grams?