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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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