allu traffic engineer has conducted a traffic survey to design the timing for traffic signal. Based on 15 observations, the average number of vehicles flowing through an intersection is 9 cars per minute. Using Poisson distribution, determine the probability that 3 or more cars pass through in 40 seconds. (5marks) b) Considering the importance of headway data on car following study, the data was plotted as below for the purpose of analysis. i) Determine the mean and standard deviation of headway? ii) Determine the probability of headway is greater than 5 seconds? iii) Evaluate the adequacy of the data collected at90%confidence level. iv) Estimate the average density in a lane if the average travel time of vehicles is70sec/km texted answer only no photos