Weights of bags of tortilla chips are normally distributed with mean 15 ounces and standard deviation 1.2 ounces.(a) What is the probability that a randomly selected bag of tortilla chips weighs more than 13.4 ounces? On your answer template in the space indicated, draw a normal distribution picture correctly labeled and with the appropriate area shaded to represent this question. Then show all work to answer the question. Then enter your answer below, rounded to 4 decimal places. Make sure that your answer is a probability, not a percentage.

(b) What is the 85th percentile of weights of bags of tortilla chips? Round your answer to two decimal places. ounces?

(c) What is the probability that a random sample of 123 bags of tortilla chips has an average weight of less than 14.7 ounces? Round your answer to 4 decimal places. Make sure that your answer is a probability, not a percentage.

On your answer template in the space indicated, explain why you use a different formula to answer the question in (c) than the question in (a). Be specific.