The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $15. Find the probability that a randomly selected utility bill is (a) less than $70, (b) between $87 and $100, and (c) more than $110.
(a) The probability that a randomly selected utility bill is less than $70 is
(Round to four decimal places as needed.)
(b) The probability that a randomly selected utility bill is between $87 and $100 is
(Round to four decimal places as needed.)
(c) The probability that a randomly selected utility bill is more than $110 is
(Round to four decimal places as needed.)