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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
![The amount of time that people spend at Grover Hot Springs is normally distributed with a
mean of 70 minutes and a standard deviation of 14 minutes. Suppose one person at the hot
springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot
Springs . Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N( 70
70
b. Find the probability that a randomly selected person at the hot springs stays longer then
69 minutes.
c. The park service is considering offering a discount for the 8% of their patrons who spend
the least time at the hot springs. What is the longest amount of time a patron can spend at
the hot springs and still receive the discount? 46.115
X minutes.
d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.
Q1: 58.542
X minutes
Q3: 81.458
X minutes
IQR: 23.006
X minutes](https://content.bartleby.com/qna-images/question/ecbd29a6-3d56-42f2-816b-28a25c12bab9/c306b053-609b-4e34-ad18-837173f4cda3/ue3ytqp_thumbnail.png)
Transcribed Image Text:The amount of time that people spend at Grover Hot Springs is normally distributed with a
mean of 70 minutes and a standard deviation of 14 minutes. Suppose one person at the hot
springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot
Springs . Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N( 70
70
b. Find the probability that a randomly selected person at the hot springs stays longer then
69 minutes.
c. The park service is considering offering a discount for the 8% of their patrons who spend
the least time at the hot springs. What is the longest amount of time a patron can spend at
the hot springs and still receive the discount? 46.115
X minutes.
d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.
Q1: 58.542
X minutes
Q3: 81.458
X minutes
IQR: 23.006
X minutes
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