The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $14. Find the probability that a randomly selected utility bill is (a) less than $67, (b) between $90 and $100, and (c) more than $120. (a) The probability that a randomly selected utility bill is less than $67 is (Round to four decimal places as needed.) (b) The probability that a randomly selected utility bill is between $90 and $100 is. (Round to four decimal places as needed.) (c) The probability that a randomly selected utility bill is more than $120 is. (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $14. Find
the probability that a randomly selected utility bill is (a) less than $67, (b) between $90 and $100, and (c) more than
$120.
(a) The probability that a randomly selected utility bill is less than $67 is
(Round to four decimal places as needed.)
(b) The probability that a randomly selected utility bill is between $90 and $100 is.
(Round to four decimal places as needed.)
(c) The probability that a randomly selected utility bill is more than $120 is
(Round to four decimal places as needed.)
Transcribed Image Text:The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $14. Find the probability that a randomly selected utility bill is (a) less than $67, (b) between $90 and $100, and (c) more than $120. (a) The probability that a randomly selected utility bill is less than $67 is (Round to four decimal places as needed.) (b) The probability that a randomly selected utility bill is between $90 and $100 is. (Round to four decimal places as needed.) (c) The probability that a randomly selected utility bill is more than $120 is (Round to four decimal places as needed.)
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