1. Five minivans and three trucks are traveling on a 3.0 mile circular track and complete a full lap in 98.0, 108.0, 113.0, 108.0, 102.0, 101.0, 85.0, and 95 seconds, respectively. Assuming that all the vehicles are traveling at constant speeds, what is the time- mean speed of the minivans? Pay attention to rounding.
a) 102.332 mi/h b) 107.417 mi/h c) 102.079 mi/h d) 102.400 mi/h
Don't use plagiarized sources. Get Your Custom Essay on
Just from $13/Page
2. Vehicles arrive at an intersection at a rate of 400 veh/h according to a Poisson distribution. What is the probability that more than five vehicles will arrive in a 1-minute interval?
a) 0.7944 b) 0.6560 c) 0.6547 d) 0.1552
3.In studying of traffic flow at a highway toll booth over a course of 60 minutes, it is determined that the arrival and departure rates are deterministic, but not uniform. The arrival rate is found to vary according to the function λ(t) = 1.8 + 0.25t – 0.0030t2. The departure rate function is μ(t) = 1.4 + 0.11t. In both of these functions, t is in minutes after the beginning of the observation and λ(t) and μ(t) are in vehicles per minute. At what time does the maximum queue length occur?
a) 49.4 min b) 2.7 min c) 19.4 min d) 60.0 min