Two stores sell watermelons. At the first store the melons weigh an average of 22 pounds, with a standard deviation of 2.5 pounds. At the second store the melons are smaller, with a mean of 18 pounds and a standard deviation of 2 pounds. You select a melon at random at each store.
a) What’s the mean difference in weights of the melons?
b) What’s the standard deviation of the difference in weights?
c) If a Normal model can be used to describe the difference in weights, what’s the probability that the melon you got at the first store is heavier?