The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 73 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. ROUND TO 4 DEMIAL PLACES WHERE POSSIBLE PLEASE! THANK YOU b. Find the probability that a randomly selected person at the hot springs stays longer then 82 minutes.  c. The park service is considering offering a discount for the 7% 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

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The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 73 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.

ROUND TO 4 DEMIAL PLACES WHERE POSSIBLE PLEASE! THANK YOU

b. Find the probability that a randomly selected person at the hot springs stays longer then 82 minutes. 

c. The park service is considering offering a discount for the 7% 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

Expert Solution
Step 1

Given:

X = the amount of time that person spent at Grover Hot Springs 

X follows normal distribution with mean = 73 mins and standard deviation 15 mins

 

 

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