Assume the room rate for a​ three-star hotel in a European city follows a normal distribution with a mean of 170 euros and a standard deviation of 16 euros.   a. What is the probability that a randomly selected​ three-star hotel has a room rate of   4. between 145 and 177 ​euros? b. A particular hotel would like to set its rate so that only 30​% of hotels in the city will have lower rates. What room rate should the hotel​ set?

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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Assume the room rate for a​ three-star hotel in a European city follows a normal distribution with a mean of 170 euros and a standard deviation of 16 euros.
 
a. What is the probability that a randomly selected​ three-star hotel has a room rate of
 
4. between 145 and 177 ​euros?
b. A particular hotel would like to set its rate so that only 30​%
of hotels in the city will have lower rates. What room rate should the hotel​ set?
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