c. The school is considering offering a discount for the 7% of their patrons who spend the least time at the Arboretum. What is the longest amount of time a patron can spend at the Arboretum and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the Arboretum.

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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The Fullerton Arboretum is a wonderful place to
visit. It is located on the CSUF campus. The amount
of time spent at the Arboretum is normally
distributed with a mean of 77 minutes and a
standard deviation of 15 minutes. Suppose one
person at the Arboretum is randomly selected. Let X
the amount of time that person spent at the
Fullerton Arboretum. Round all answers to 4 decimal
places where possible.
a. What is the distribution of X? X - N( 77
15
b. Find the probability that a randomly selected
person at the Fullerton Arboretum stays longer then
70 minutes. 0.6796
c. The school is considering offering a discount for
the 7% of their patrons who spend the least time at
the Arboretum. What is the longest amount of time a
patron can spend at the Arboretum and still receive
the discount?
minutes.
d. Find the Inter Quartile Range (IQR) for time spent
at the Arboretum.
Q1:
minutes
Q3:
minutes
IQR:
minutes
Transcribed Image Text:The Fullerton Arboretum is a wonderful place to visit. It is located on the CSUF campus. The amount of time spent at the Arboretum is normally distributed with a mean of 77 minutes and a standard deviation of 15 minutes. Suppose one person at the Arboretum is randomly selected. Let X the amount of time that person spent at the Fullerton Arboretum. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 77 15 b. Find the probability that a randomly selected person at the Fullerton Arboretum stays longer then 70 minutes. 0.6796 c. The school is considering offering a discount for the 7% of their patrons who spend the least time at the Arboretum. What is the longest amount of time a patron can spend at the Arboretum and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the Arboretum. Q1: minutes Q3: minutes IQR: minutes
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