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weeks. Then the probability that the time between accidents is less than 2 weeks is as follows: P( T2) = F(2) = 1 - -0.42) =1--15 = 1 -0.4493 = 0.5507 Thus, the probability of less than 2 weeks between accidents is about 55%. 54 Example 5.12 Time Between Boat Arrivals at a Grain Shipping Dock In Example 4.12 we showed how to compute the probability of the number of boats arriving at a grain shipping dock in Churchill Manitoba using the Poisson probability distribution. In this example we compute the probability of a particular time interval between boat arrivals using the exponential probability distribution. In the previous problem we found that the mean number of arrivals was a = 2.5 per 6-hour period. Now we want to compute the probability that a boat will arrive within 3 hours of the last boat arrival and also to compute the probability that a boat will arrive between 2 and 4 hours after the last arrival