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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? (Round your answer to the nearest whole number.)

 
 Dec 3, 2015

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