The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 66 minutes and a standard deviation of 17 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( 66 17 b. Find the probability that a randomly selected person at the hot springs stays longer then 80 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? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 66 minutes and a standard deviation of 17 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( 66 17 b. Find the probability that a randomly selected person at the hot springs stays longer then 80 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? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
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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Please answer B, C, & D.
![The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 66
minutes and a standard deviation of 17 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( 66
17
b. Find the probability that a randomly selected person at the hot springs stays longer then 80 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?
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%2F0017d92f-fd5a-4a34-8e16-36b3a20e3d6d%2F65e32d0d-7547-4bc2-8cc7-03e92de9d9dc%2Fdzmnukb_processed.png&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 66
minutes and a standard deviation of 17 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( 66
17
b. Find the probability that a randomly selected person at the hot springs stays longer then 80 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?
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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