Public Health and Nutrition
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.10 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 less than 7.75 grams?
b. What is the probability that the amount of protein is between 7.8 and 8.2 grams?
c. Suppose the amount of protein is at least 8.1 grams. What is the probability that it is more than 8.3 grams?
d. Suppose three bars are selected at random. What is the probability that all three will be between 7.7 and 8.3 grams?