The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 64 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(_____,_____) b. Find the probability that a randomly selected person at the hot springs stays longer then 58 minutes. _____ c. The park service is considering offering a discount for the 6% 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