The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 60 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 - N( b. Find the probability that a randomly selected person at the hot springs stays longer then 53 minutes. c. The park service is considering offering a discount for the 6% 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 (1QR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes

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ISBN:9781119256830
Author:Amos Gilat
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The amount of time that people spend at Grover Hot Springs is normally distributed with a
mean of 60 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 - N(
b. Find the probability that a randomly selected person at the hot springs stays longer then 53
minutes.
c. The park service is considering offering a discount for the 6% 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 (1QR) for time spent at the hot springs.
Q1:
minutes
Q3:
minutes
IQR:
minutes
Transcribed Image Text:The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 60 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 - N( b. Find the probability that a randomly selected person at the hot springs stays longer then 53 minutes. c. The park service is considering offering a discount for the 6% 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 (1QR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
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