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Question 10 The amount of time that people spend at Grover Hot Springs is normally distributed with a mean-of 68 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. Round all answers to 4 decimat places where possible. %3! a. What is the distribution of X? X ~ N( b. Find the probability that a randomly selected person at the hot springs-stays tonger then 87 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 tongest amount of time a patron can spend at the hot springs and still receive the discount? minutes.

Question 10 The amount of time that people spend at Grover Hot Springs is normally distributed with a mean-of 68 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. Round all answers to 4 decimat places where possible. %3! a. What is the distribution of X? X ~ N( b. Find the probability that a randomly selected person at the hot springs-stays tonger then 87 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 tongest amount of time a patron can spend at the hot springs and still receive the discount? minutes.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question 10 The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 68 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. 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 87 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: Eminutes Q3: minutes IQR: minutes Submit Question Rain. 16 IOI & 2$4 5. L. 8 P E R T Y U
Transcribed Image Text:Question 10 The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 68 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. 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 87 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: Eminutes Q3: minutes IQR: minutes Submit Question Rain. 16 IOI & 2$4 5. L. 8 P E R T Y U
Expert Solution
Step 1
We have given that.
 
X~N( μ , ?^2 )
 
μ =68 , ? =15
 
Z-score =( x - μ )/?
 
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