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. Ifa 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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3.4.6
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:3.4.6 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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