Traffic volume count was carried out at a location on a two-lane two-way state highway and found to be 1200 veh/hr on one of the lanes with a directional distribution of 58%. A major district road intersects this state highway. Assume the vehicle arrival rate at any point along the road follows Poisson’s distribution.Calculate the probability of the number of vehicles travelling along the major lane at a headway of 5 seconds or more.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Traffic volume count was carried out at a location on a two-lane two-way state highway and found to be 1200 veh/hr on one of the lanes with a directional distribution of 58%. A major district road intersects this state highway. Assume the vehicle arrival rate at any point along the road follows Poisson’s distribution.Calculate the probability of the number of vehicles travelling along the major lane at a headway of 5 seconds or more.
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