The waiting times for commuters on the Red Line during peak rush hours follow a uniform distribution between 0 minutes and 12 minutes.
The waiting times for commuters on the Red Line during peak rush hours follow a uniform distribution between 0 minutes and 12 minutes.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
Related questions
Question
The waiting times for commuters on the Red Line during peak rush hours follow a uniform distribution between 0 minutes and 12 minutes.
Transcribed Image Text:d) What is the probability that a randomly selected commuter on the Red Line during peak rush hours waits
between 4 and 9 minutes?
Give your answer as a fraction.
Give your answer accurate to three decimal places.
e) What is the probability that a randomly selected commuter on the Red Line during peak rush hours waits
exactly 4 minutes?
Transcribed Image Text:The waiting times for commuters on the Red Line during peak rush hours follow a uniform distribution
between 0 minutes and 12 minutes.
a) State the random variable in the context of this problem.
O rv X = waiting for a train
O rv X = a uniform distribution
O rv X = a randomly selected commuter on the Red Line during peak rush hours
O rv X = the waiting time for a randomly selected commuter on the Red Line during peak rush hours
b) Compute the height of the uniform distribution.
Leave your answer as a fraction.
c) Which of the following is the correct picture of the probability distribution of X?
a bell-shaped curve that starts at 0 and ends at 12
O a rectangle with edges at 0 and 12
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