Answer to Question #36480 in Statistics and Probability for annie

Question

do you know the answer to:

Suppose personal daily water usage in Darwin City is normally distributed, with a mean of 18 litres and a standard deviation of 6 litres.
a) What percentage of the population uses between 10 and 20 litres?
b) What is the probability that a person uses less than 10 litres?
c) If the local government wants to give a tax rebate to the 20% of the population that use the least amount of water. What should the government use as the maximum water limit for a person to qualify for a tax rebate?
d) Suppose the governments’ proposed tax rebate causes a shift in the average water use from 18 litres to 14 litres per person per day, but causes no shift in the standard deviation. What limit should be set on water use if 20% of the population is to receive a tax rebate?

Answer 1

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