At a specified point on a highway, vehicles are known to arrive according to a Poisson process. Vehicles are counted in 30-second intervals, and vehicle counts are taken in 120 of these time intervals. It is noted that no cars arrive in 18 of these 120 intervals. a) Approximate the number of these 120 intervals in which exactly three cars arrive. b) Estimate the Percentage of time headways that will be 10 seconds or greater and those that will be less than 6 seconds.

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At a specified point on a highway, vehicles are known to arrive according to a Poisson
process. Vehicles are counted in 30-second intervals, and vehicle counts are taken in 120 of
these time intervals. It is noted that no cars arrive in 18 of these 120 intervals.

a) Approximate the number of these 120 intervals in which exactly three cars arrive.

b) Estimate the Percentage of time headways that will be 10 seconds or greater and
those that will be less than 6 seconds.

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