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The population average cholesterol content of a certain brand of egg is 215 milligrams, and the...

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

(a) Find the probability the cholesterol content for a single egg is between 210 and 220

(b) Find the probability the average cholesterol content for 25 eggs is between 210 and 220.

(c) Find the 75th percentile for the average cholesterol content for 25 eggs.

(d) If we are told the average for 25 eggs is less than 220mg, what is the probability the average is less than 210mg?

Math   Statistics-And-Probability   
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