Answer to Question #16412 in Statistics and Probability for Shane Dorms

Crispy Chips is a potato chip company that is quite popular for its low?fat, low?calorie bags of potato chips. The procedure used at its production plant allows for 65 chips to be inserted into each bag for distribution to consumers. However, given that chip?making is not an exact science, there is a standard deviation of 5 chips per individual bag. If we can assume that the amount of chips in each bag forms a normal distribution, calculate the following:
a) Calculate the z-score if there are 60 chips in a bag.
b) What is the probability that less than 60 potato chips will be in a bag?
c) Determine the probability that more than 80 potato chips will be in a bag.
d) Find the probability that there will be between 55 and 80 potato chips in a bag.