Cholesterol Content. The average cholesterol content of a certain brand of eggs is 233 milligrams, and the standard deviation is 18 milligrams. Assume the variable is normally distributed. If a single egg is selected, find the probability that the cholesterol content will be greater than 240 milligrams. If a sample of 36 eggs is selected, find the probability that the mean of the sample will be larger than 240 milligrams.