The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 60 minutes and a standard deviation of 16 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 |-_) o' o' b. Find the probability that a randomly selected person at the hot springs stays longer then 75 minutes. .1743 r o\"2 H 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? 104.5 x minutes. 0" :1 Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: 49.2032 J minutes 0' Q3: 70.7913 minutes of IQR: 21.5836 v minutes of"