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The distribution of weights of United States pennies is approximately normal with a mean (m) of...

The distribution of weights of United States pennies is approximately normal with a mean (m) of 2.5 grams and a standard deviation (s) of 0.03 grams.

a. What is the probability that a randomly selected penny weighs less than 2.4 grams?

b. Describe the sampling distribution of the mean weight of 9 randomly chosen pennies?

c. What is the probability that the mean weight of 9 randomly chosen pennies is less than 2.49 grams?

d. Sketch the two distributions (population and sampling) on the same scale.

Math   Statistics-And-Probability   
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