The amount of time that people spend at Grover Hot Springs is normally distributed with a me minutes and a standard deviation of 17 minutes. Suppose one person at the hot springs is rand Let X= the amount of time that person spent at Grover Hot Springs. Round all answers to 4 de where possible. a. What is the distribution of X? X - N( 71 17

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Question 5
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 71
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(71
>
b. Find the probability that a randomly selected person at the hot springs stays longer then 85 minutes.
0.2051
IQR:
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? 41.2432 minutes.
minutes
17
d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.
Q1:
minutes
Q3:
minutes
MacBook Air
Transcribed Image Text:Question 5 The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 71 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(71 > b. Find the probability that a randomly selected person at the hot springs stays longer then 85 minutes. 0.2051 IQR: 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? 41.2432 minutes. minutes 17 d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes MacBook Air
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