1) The headway h can be calculated as the quotient of the spacing f in feet, which is the average distance between vehicles, and the average speed v, in feet per second, of traffic. Thus the probability that spacing is at least f feet is the same as the probability that the headway is at least f/v seconds. Use function composition to find a formula for the probability Q that the spacing is at least f feet. Note: Your formula will involve both f and v.
Q=
2) If the average speed is 86 feet per second, what is the probability that the spacing between two vehicles is at least 35 feet?