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The cholesterol content of large chicken eggs is normally distributed with a mean of 187 milligrams...

The cholesterol content of large chicken eggs is normally distributed with a mean of 187 milligrams and standard deviation 15 milligrams. Use this information to answer the questions below. Round your answer to two decimal places.

a. What is the probability one of these eggs is between 186 and 200?

b. Suppose six eggs are randomly chosen from this population of eggs. What is the probability the average milligrams of cholesterol of the sample be less than 200 milligrams?

c. Seventy-five percent of these eggs have cholesterol content less than...

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