The weight of potato chips in a medium size bag is stated to be 300 g.The amount that the packaging machine puts in these bags is believed to have be normally distributed with mean 306 g and standard deviation of 3.6 g.

a. What proportion of all bags sold are underweight?

b. What is the probability that the mean weight of the three bags is below the statedamount?

c. What is the probability that the mean weight per bag of a 24-bag case of potato chipsis below 300 g?