The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 68 minutes and a standard deviation of 15 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. %3D a. What is the distribution of X? X ~ N( 68 15 b. Find the probability that a randomly selected person at the hot springs stays longer then 64 minutes. 0.6051 c. The park service is considering offering a discount for the 5% 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? minutes.
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 68 minutes and a standard deviation of 15 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. %3D a. What is the distribution of X? X ~ N( 68 15 b. Find the probability that a randomly selected person at the hot springs stays longer then 64 minutes. 0.6051 c. The park service is considering offering a discount for the 5% 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? minutes.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 68 minutes and a standard deviation of 15 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 \(X\)?
\[X \sim N(68, 15)\]
b. Find the probability that a randomly selected person at the hot springs stays longer than 64 minutes.
Probability: 0.6051
c. The park service is considering offering a discount for the 5% 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?
\(\_\_\_\_\) minutes
d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.
Q1: \(\_\_\_\_\) minutes
Q3: \(\_\_\_\_\) minutes
IQR: \(\_\_\_\_\) minutes
**Hint:**
**Helpful videos:**
- Find a Probability \([+]\)
- Finding a Value Given a Probability \([+]\)
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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 68 minutes and a standard deviation of 15 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 \(X\)?
\[X \sim N(68, 15)\]
b. Find the probability that a randomly selected person at the hot springs stays longer than 64 minutes.
Probability: 0.6051
c. The park service is considering offering a discount for the 5% 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?
\(\_\_\_\_\) minutes
d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.
Q1: \(\_\_\_\_\) minutes
Q3: \(\_\_\_\_\) minutes
IQR: \(\_\_\_\_\) minutes
**Hint:**
**Helpful videos:**
- Find a Probability \([+]\)
- Finding a Value Given a Probability \([+]\)
[Hint icon]
Submit Question
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