4.39 Weights of pennies:  The distribution of weights of United States pennies is approximately normal with a mean of 2.5 grams and a standard deviation of 0.03 grams.


(a) What is the probability that a randomly chosen penny weighs less than 2.4 grams?
(please round to four decimal places)

(b) Describe the sampling distribution of the mean weight of 10 randomly chosen pennies.
Mean: grams (please round to one decimal place)
Standard Deviation: grams (please round to four decimal places)


(c) What is the probability that the mean weight of 10 pennies is less than 2.4 grams?
(please round to four decimal places)