4.) The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed.

1. If a single egg is selected, find the probability that the cholesterol content will be greater than 220 milligrams.
2. If a sample of 25 eggs is selected, find the probability that the mean of the sample will be larger than 220 milligrams.

5.) Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz. and a standard deviation of 0.11 oz.

1. Find the probability that a single can of Coke has at least 12.19 oz.
2. The 36 cans of Coke in Data Set 26 "Cola Weights and Volumes" in Appendix B have a mean of 12.19 oz. Find the probability that 36 random cans of Coke have a mean of at least 12.19 oz.

(c) Given the result from part (b), is it reasonable to believe that the cansare actually filled with a mean equal to 12.00 oz? If the mean is not equal to 12.00 oz, are consumers being cheated?