The annual per capita consumption of bottled water was 34.6 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 34.6 and a standard deviation of 12 gallons.

a. What is the probability that someone consumed more than 45 gallons of bottled water?

b. What is the probability that someone consumed between 30 and 40 gallons of bottled water?

c. What is the probability that someone consumed less than 30 gallons of bottled water?

d. 99.5% of people consumed less than how many gallons of bottled water?