In 2014, the per capita consumption of bottled water in the United States was reported to be 34 gallons. (Data extracted from bottledwater.org/economics/bottled-water-market.) Assume that the per capita consumption of bottled water in the United States is approximately normally distributed with a mean of 34 gallons and a standard deviation of 10 gallons.
a. What is the probability that someone in the United States consumed more than 33 gallons of bottled water in 2014?
b. What is the probability that someone in the United States consumed between 10 and 20 gallons of bottled water in 2014?
c. What is the probability that someone in the United States consumed less than 10 gallons of bottled water in 2014?
d. Ninety-nine percent of the people in the United States consumed less than how many gallons of bottled water?