Question: 1 As labelled on the package, each bag of chips is supposed to contain 150g of chips. In the manufacturing process, the content of each bag is filled according to a normal distribution with a mean of 152g and a standard deviation of 4g.
(a) Find the probability that the actual content in a randomly selected bag is greater than the labelled value.
(b) You have just bought a family pack which contains 10 bags of 150g chips. Find the probability that the mean content of these ten bags is greater than the labelled value.
(c) Compare your answers in the previous two parts. Explain why or why not they are different.