Solved: The average length of time between arrivals at a turnpike, Basic Statistics

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The average length of time between arrivals at a turnpike

Question: The average length of time between arrivals at a turnpike tollbooth is 23 seconds. Assume that the time between arrivals at the tollbooth is exponentially distributed.

a. What is the probability that a minute or more will elapse between arrivals?

b. If a car has just passed through the tollbooth, what is the probability that no car will show up for at least 3 minutes?

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