1. Suppose that personal daily water usage in California isnormally distributed with a mean of 17 gallons and a standarddeviation of 6 gallons.
(a) What proportion of California’s population uses between 10and 20 gallons daily?
(b) The governor of California wants to give a tax rebate to the20% of the population that uses the least amount of water. Whatshould the governor use as the maximum daily water usage for aperson to qualify for the tax rebate?
(c) The governor randomly samples 100 people from the Californiapopulation. What is the probability that the average usage amongthese 100 people is more than 18 gallons/day?
