WEEK 1 b: Pract'ce '- I Hal Progress saved Done {5' Score: 51.42/92 19/37 answered I Question 20 V [Z 4 pts '0 1 8 98 6) Beta 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 14 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 84 minutes. i:] 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? C] minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. minutes Q3: C] minutes minutes