If, in question 68, 90% of the bottles contain more than 16 oz of milk, what is the probability that fewer than 3 of the 30 bottles that the agency bought contain more than 16 oz of milk?

Question 68

Assume that the amount of milk in a 16-oz bottle follows a normal distribution with a mean of 16 and a standard deviation of 1. A consumer protection agency bought 30 bottles of milk and weighed them. What is the probability that the average weight of these 30 bottles of milk falls between 15.9 and 16.1 oz?