Answered: hotel in a European city follows a…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 16HP

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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

1. less than 185 euros?

2. more than 180 euros?

3. exactly 165 euros?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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