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6. The Downtown Marcela Street subway is docked at the station for passengers to enter all morning, and the time that it first departs from the station is typically some amount of minutes after 9:00. Let X be the number of minutes after nine o'clock that the Downtown Marcela Street subway leaves the station. Assume that the distribution of times is approximately normal with mean fifteen minutes and standard deviation five minutes. a. If a person gets to the subway station at 9:10, what is the probability that the person has missed the Downtown Marcela Street subway? b. If a person is willing to risk a 15% chance of not making the Downtown Marcela Street sub- way, what is the maximum number of minutes after nine o'clock that the person can reach the station? c. What time should the person reach the station to have a 50% chance of catching the Downtown Marcela Street subway?

6. The Downtown Marcela Street subway is docked at the station for passengers to enter all morning, and the time that it first departs from the station is typically some amount of minutes after 9:00. Let X be the number of minutes after nine o'clock that the Downtown Marcela Street subway leaves the station. Assume that the distribution of times is approximately normal with mean fifteen minutes and standard deviation five minutes. a. If a person gets to the subway station at 9:10, what is the probability that the person has missed the Downtown Marcela Street subway? b. If a person is willing to risk a 15% chance of not making the Downtown Marcela Street sub- way, what is the maximum number of minutes after nine o'clock that the person can reach the station? c. What time should the person reach the station to have a 50% chance of catching the Downtown Marcela Street subway?

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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6. The Downtown Marcela Street subway is docked at the station for passengers to enter all morning, and the time that it first departs from the station is typically some amount of minutes after 9:00. Let X be the number of minutes after nine o'clock that the Downtown Marcela Street subway leaves the station. Assume that the distribution of times is approximately normal with mean fifteen minutes and standard deviation five minutes. a. If a person gets to the subway station at 9:10, what is the probability that the person has missed the Downtown Marcela Street subway? b. If a person is willing to risk a 15% chance of not making the Downtown Marcela Street sub- way, what is the maximum number of minutes after nine o'clock that the person can reach the station? c. What time should the person reach the station to have a 50% chance of catching the Downtown Marcela Street subway?
Transcribed Image Text:6. The Downtown Marcela Street subway is docked at the station for passengers to enter all morning, and the time that it first departs from the station is typically some amount of minutes after 9:00. Let X be the number of minutes after nine o'clock that the Downtown Marcela Street subway leaves the station. Assume that the distribution of times is approximately normal with mean fifteen minutes and standard deviation five minutes. a. If a person gets to the subway station at 9:10, what is the probability that the person has missed the Downtown Marcela Street subway? b. If a person is willing to risk a 15% chance of not making the Downtown Marcela Street sub- way, what is the maximum number of minutes after nine o'clock that the person can reach the station? c. What time should the person reach the station to have a 50% chance of catching the Downtown Marcela Street subway?
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