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Question 20 The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 80 minutes and a standard deviation of 18 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 71 minutes. C. The park service is considering offering a discount for the 8% 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. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes. Question 19 Find the area of the shaded region under the standard normal distribution between the given z-scores. Round your answer to four decimal places. -4 -3 -2 0.3 1.44 a P(03 1.77) =Question 15 69% of all Americans are home owners. If 38 Americans are randomly selected, find the probability that a. Exactly 27 of them are are home owners. b. At most 26 of them are are home owners. C. At least 25 of them are home owners. d. Between 24 and 29 (including 24 and 29) of them are home owners.Question 6 For the data shown, answer the questions. Round to 4 decimal places where possible. X 26.3 10.1 15.1 9.7 28.2 3.2 22.8 Find the mean: Find the median: Find the standard deviation:. Question 5 Here is a set of data. 12 165 182 300 342 404 466 591 619 682 725 778 882 903 Identify the 5 number summary (min, Q1, median, Q3, max) Hint: Help Video [ [+]Question 3 90 adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below: # of times floss per week Frequency Relative Frequency Cumulative Frequency O B 12 0.1333 20 2 16 0.1778 36 9 0.1 45 14 0.1556 59 9 0.1 68 9 0.1 7 0.1444 90 a. Complete the table (Use 4 decimal places when applicable) b. What is the cumulative relative frequency for flossing 5 times per week