MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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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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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