In 2011, the per capita consumption of coffee in the United States was reported to be 4.16 kg, or 9.152 pounds. (Data extracted from www.ico.org.) Assume that the per capita consumption of coffee in the United States is approximately normally distributed with a mean of 9.152 pounds and a standard deviation of 3 pounds.
a. What is the probability that someone in the United States consumed more than 10 pounds of coffee in 2011?
b. What is the probability that someone in the United States consumed between 3 and 5 pounds of coffee in 2011?
c. What is the probability that someone in the United States consumed less than 5 pounds of coffee in 2011?
d. 99% of the people in the United States consumed less than how many pounds of coffee? on a different exam, where the mean is 62 and the standard deviation is 3? Show your answer statistically and explain.