In: Statistics and Probability
3. Fun size M&Ms candies contain between 15 and 18 candies and uniformly distributed among bags. Sup- pose a sample of 30 bags is chosen from a large Costco size bag of Fun Size M&Ms.
a) What is the population mean and standard deviation? Hint: bag size is given to us as uniformly distributed
b) What is the probability that the mean number of candies in 30 bags is less than 15 candies?
c) What is the probability that the mean number of candies in 30 bags is more than 18 candies?