The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 74 minutes and a standard deviation of 16 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( 74 b. Find the probability that a randomly selected person at the hot springs stays longer then 81 minutes. 0.339 16 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? 47.6823 minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: IQR: minutes minutes

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Author:Amos Gilat
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O Question 16
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 74
minutes and a standard deviation of 16 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( 74
>
b. Find the probability that a randomly selected person at the hot springs stays longer then 81 minutes.
0.339
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? 47.6823 minutes.
minutes
16
d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.
Q1:
minutes
Q3:
IQR:
minutes
Check Answer
Transcribed Image Text:O Question 16 The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 74 minutes and a standard deviation of 16 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( 74 > b. Find the probability that a randomly selected person at the hot springs stays longer then 81 minutes. 0.339 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? 47.6823 minutes. minutes 16 d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: IQR: minutes Check Answer
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