Assume the weatherman predicted that South Arkansas will receive an average of 4.5 inches of snow this winter with a standard deviation of .5 (half an inch). Your friend, a major skeptic, says we might get 4.5 inches of snow, but there is zero chance we get more than 5 inches of snow. (After all, it IS South Arkansas, right?)

In his forecast, the weatherman also mentioned that snowfall distributions tend to be bell-shaped and symmetrical across South Arkansas. Is your friend right in saying that there's a 0% chance of getting more than 5 inches of snow? If he's wrong, how much of a chance is there of getting more than 5 inches?