The amount of time that people spent at Grover Hot Springs is normally distributed with a mean of 68 minutes and a standard deviation of 18 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. I only need help on questions B, and C.
The amount of time that people spent at Grover Hot Springs is normally distributed with a mean of 68 minutes and a standard deviation of 18 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. I only need help on questions B, and C.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The amount of time that people spent at Grover Hot Springs is normally distributed with a mean of 68 minutes and a standard deviation of 18 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. I only need help on questions B, and C.
![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 18 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( 68
18
b. Find the probability that a randomly selected person at the hot springs stays longer then 89 minutes.
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29dd3538-af24-4ce6-904c-b6de32b18bdf%2F3aa36235-1fb3-4a27-a53a-15b8e48600c5%2Fbos5k_processed.jpeg&w=3840&q=75)
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 18 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( 68
18
b. Find the probability that a randomly selected person at the hot springs stays longer then 89 minutes.
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
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