Traffic flow data were collected on a segment of I-84 highway. The study has revealed the following speed and density relationship: u=60(1−k^2/248400) a) Determine the capacity of this highway. b) When the flow is 2,800 veh/h, compute the corresponding density and vehicle spacing of this traffic stream.

The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to bePoisson with a mean of 30 mi/h. It takes an average of 1.5 min for the necessary tickets to be bought for occupants of each car. (a) What is the expected length of queue at the ticket gate, not including the vehicle being served? (b) What is the probability that there are no more than 5 cars at the gate, including the vehicle being served? (c) What will be the average waiting time of a vehicle?

You are to write down on a piece of paper the number of credits you are taking this semester. Your instructor will then collect the data and share the results with the class. Calculate the mean and standard deviation of the data. Assuming a normal distribution, determine the probability that a student is taking between 12 to 15 credits this semester. What is the probability that a student is taking less than 12 credits?