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The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 63 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 two decimal places. A. X ~ N( ______ , ________ ) B. Find the probability that a randomly selected person at the hot springs stays longer then an hour (60 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. Q^1: _____ minutes Q^3: ______ minutes. IQR:_______ minutes.
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Step 1:

The distribution of the amount of time people spend at Grover Hot Springs is normal, with a mean of 63 minutes and a standard deviation of 18 minutes. Therefore, we have: X ~ N(63, 18)

Final Answer

The distribution of the amount of time people spend at Grover Hot Springs is normal, with a mean of 63 minutes and a standard deviation of 18 minutes. Therefore, we have: X ~ N(63, 18)