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 spring: 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 distn'bution of X? X Y Nt:],:]) b. Find the probability that a randomly selected person at the hot springs stays longer then 87 minutes. :i 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? :1 minutes. d. Find the Inter Quartile Range [IQR) for time spent at the hot springs. IQR: C] minutes