According to Data360.org, in 2002, the average water consumption per capita in Japan for the year was 93.5 gallons. Assume that the water the water consumption per capita in Japan follows a normal and symmetrical distribution with a mean of 93.5 gallons and a standard deviation of 12 gallons. Find the following,
a. The probability that a person in Japan consumed more than 32 gallons in 2002
b. The probability that a person in Japan consumed between 15 and 25 gallons of water in 2002.
c. The probability that a person in Japan consumed less than 15 gallons of water in 2002
d. 90% of the people in Japan consumed more than how many gallons of water.