A convenience store has four available parking spaces. The owner predicts that the duration of customer shopping (the time the customer's vehicle will occupy a parking space) is exponentially distributed with a mean of 6 minutes. The owner knows that in the busiest hour customer arrivals are exponentially distributed with a mean arrival rate of 30 customers per hour. What is the probability that a customer will not have an open parking space available when arriving at the store? Round off answer in four decimal places.

A researcher was observing traffic along one lane of a rural highway. During a 1 minute time interval, ten vehicles were observed travelling 65, 64, 71, 66, 58, 72, 69, 66, 55 and 62 mph. Using these spot speeds, calculate the time mean speed (mph). Provide your answer to the nearest tenth of a mph.

A researcher was observing traffic along one lane of a rural highway. During a 1 minute time interval, ten vehicles were observed travelling 65, 64, 71, 66, 58, 72, 69, 66, 55 and 62 mph. Calculate the average time headway (s). Provide your answer to the nearest tenth of a second.

Question 9 give detailed process explaining your answer Subject: Transportation Engineering