The amount of time that people spent at Grover Hot Springs is normally distributed with a mean of 68 minutes and a standard deviation of 18 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. I only need help on questions B, and C.

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The amount of time that people spent at Grover Hot Springs is normally distributed with a mean of 68 minutes and a standard deviation of 18 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. I only need help on questions B, and C.
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 68
minutes and a standard deviation of 18 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( 68
18
b. Find the probability that a randomly selected person at the hot springs stays longer then 89 minutes.
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?
minutes.
d. Find the Inter Quartile Range (IQR) 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 68 minutes and a standard deviation of 18 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( 68 18 b. Find the probability that a randomly selected person at the hot springs stays longer then 89 minutes. 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? 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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