1. A shipment of cereal boxes is delivered to a supermarket in Florida. The manager is told that the weights of the cereal boxes are normally distributed, with a mean of 165g and a standard deviation of 5g.
2. Find the probability that a random sample of 200 boxes has a mean weight of between 164.9 and 165.1
3. Do I need to state that the distribution of the weights of the cereal boxes is normal in order to do part "2"? Please answer in a single sentence.