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The waiting times for commuters on the Red Line during peak rush hours follow a uniform distribution between 0 minutes and 13 minutes.

a) State the random variable in the context of this problem.

rv X = the waiting time for a randomly selected commuter on the Red Line during peak rush hours
rv X = a randomly selected commuter on the Red Line during peak rush hours
rv X = a uniform distribution
rv X = waiting for a train

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 rectangle with edges at 0 and 13
a bell-shaped curve that starts at 0 and ends at 13

d) What is the probability that a randomly selected commuter on the Red Line during peak rush hours waits between 3 and 10 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 3 minutes?

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