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 14 minutes. Suppose one person at the hot springs is randomly...

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 14 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.) 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.

b.)Find the probability that a randomly selected person at the hot springs stays longer then 74 minutes

c.)Find the Inter Quartile Range (IQR) for time spent at the hot springs.
Q1: ___minutes

Q3: ___minutes

IQR: ____minutes