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What is the probability that a random selected driver

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interval, the traffic volume is high with 20% probability and medium with 30% probability. If the traffic volume is high, the probability that a driver will have an long delay is 0.4, while if the traffic volume is medium, then this probability becomes 0.1, and if the traffic volume is low, this probability drops to 0.01. We are interested in the probability that a randomly selected driver will experience a long delay.

a) Draw an event tree for this problem.

b) What is the probability that a random selected driver will have a long delay?

c) If a driver has a long delay, what is the probability that it occurred while the traffic volume was medium?

d) What is the probability that at least two of the next three randomly selected drivers have long delays? Make and state any assumptions that you feel are necessary to answer this question.

Reference no: EM132880301

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