At Sam's Butcher Shop, ground beef packages vary in weight according to a normal distribution with a mean of 3.1 pounds and a standard deviation of...

At Sam’s Butcher Shop, ground beef packages vary in weight according to a normal distribution with a mean of 3.1 pounds and a standard deviation of 0.2 pounds, and are sold for $ 1.1 per pound. Packages of Bratwurst vary in weight according to a normal distribution with a mean of 2.6 pounds and a standard deviation of 0.3 pounds, and are sold for $ 2.9 per pound. Anticipating nice weather during the weekend, Dick buys two packages of ground beef and one package of Bratwurst, selecting the packages at random. What is the probability that Dick would exceed the $15 limit “suggested” by his wife Jane? ( Assume independence. )