Answer to Question #60350 in Statistics and Probability for Lori

Question

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 75 chips in a bag.
b) What is the probability that less than 61 potato chips will be in a bag?
c) Determine the probability that more than 79 potato chips will be in a bag.
d) Find the probability that there will be between 60 and 80 potato chips in a bag.