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.

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

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 12
a bell-shaped curve that starts at 0 and ends at 12

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