The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 3'9 minutes and a standard deviation of 13 minutes. Suppose one person at the hot springs is randomlyr chosen. Let K = 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 )l? K MIC],:'} b. Find the probability that a randole selected person at the hot springs stays longer then FIB minutes. :1 c. 111e park service is considering offering a discount for the 4% of their patrons wi'lo 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? C] minutes. d. Find the Inter Quartile Range {IQR} for time spent at the hot springs. l[11: C] minutes S Q3: minutes IQR: C] minutes