Question: During a certain part of the day, the time between arrivals of automobiles at the tollgate on a turnpike is an exponential random variable with

During a certain part of the day, the time between arrivals of automobiles at the tollgate on a turnpike is an exponential random variable with expected value 20 seconds.

Find the probability that the time between successive arrivals is greater than 10 seconds and less than 30 seconds.

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