The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 75 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 thehot springs stays longer then 88 minutes. c. The park service is considering offering a discount for the 4% 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
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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 75 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 thehot springs stays longer then 88 minutes.
c. The park service is considering offering a discount for the 4% 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
Hint:
Transcribed Image Text:The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 75 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 thehot springs stays longer then 88 minutes. c. The park service is considering offering a discount for the 4% 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 Hint:
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