1. At your supermarket, the typical shopper spends $18.93 with a standard deviation of $12.52. You are wondering what would happen in a typical morning hour with 400 typical shoppers, assuming that each one shops independently. How likely it is that you will exceed $8,000 in total sales for all 400 shoppers.
2. You are evaluating two portfolios for your personal investment on the basis of their return. Portfolio A's yearly return is normally distributed with a mean of 0.05 and a standard deviation of 0.07. Portfolio B's yearly return is normally distributed with a mean of 0.04 and a standard deviation of 0.06. Based on this information, what is the probability that over the next year, the return on portfolio A is lower than the return on portfolio B?