The meat department at a local supermarket specifically prepares its "1-pound" packages of ground beef so that there will be a variety of weights, some slightly more and some slightly less than 1 pound. Suppose that the weights of these "1- pound" packages are normally distributed with a mean of 1.00 pound and a standard deviation of .15 pound.
a. What proportion of the packages will weigh more than 1 pound?
b. What proportion of the packages will weigh between .95 and 1.05 pounds?
c. What is the probability that a randomly selected package of ground beef will weigh less than .80 pound?
d. Would it be unusual to find a package of ground beef that weighs 1.45 pounds? How would you explain such a large package?