In 2014, the per capita consumption of soft drinks in the United States was reported to be 42.1 gallons. (Data extracted from beverage digest.com/pdf/top-10_2015.pdf.). Assume that the per capita consumption of soft drinks in the United States is approximately normally distributed with a mean of 42.1 gallons and a standard deviation of 13 gallons.
a. What is the probability that someone in the United States consumed more than 60 gallons of soft drinks in 2014?
b. What is the probability that someone in the United States consumed between 15 and 30 gallons of soft drinks in 2014?
c. What is the probability that someone in the United States consumed less than 15 gallons of soft drinks in 2014?
d. Ninety-nine percent of the people in the United States consumed less than how many gallons of soft drinks?