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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 9 minutes. a) State
The waiting times for commuters on the Red Line during peak rush hours follow a uniform distribution between 0 minutes and 9 minutes. a) State the random variable in the context of this problem. 0 rv X = a uniform distribution 0 rv X = a randomly selected commuter on the Red Line during peak rush hours 0 rv X = the waiting time for a randomly selected commuter on the Red Line during peak rush hours 0 rv X = waiting for a train b] Compute the height of the uniform distribution. Leave your answer as a fraction. [:1 c) Which of the following is the correct picture of the probability distribution of X? 0 a bell-shaped curve that starts at O and ends at 9 O a rectangle with edges at 0 and 9 d] What is the probability that a randomly selected commuter on the Red Line during peak rush hours waits between 4 and 7 minutes? Give your answer as a fraction. :1 Give your answer accurate to three decimal places. :1 e) What is the probability that a randomly selected commuter on the Red Line during peak rush hours waits exactly 4 minutes? [:1
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