The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 67 minutes and a standard deviation of 15 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs. a. What is the distribution of X? X - N( 67 sd) where N = "Normal") b. Find the probability that a randomly selected person at the hot springs stays longer than 59 minutes. (Round answer to four decimal places) 0.7031 15 c. The park service is considering offering a discount for the 4% 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. (Round answer to one decimal place) Hint: d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. (Round answers to one decimal place) Q1: Q3: IQR: ✓(Formatting hint: N(mean, I minutes Enter an integer or decimal number, accurate to at least 1 decimal places [more..] minutes Helpful videos: minutes

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