Question: 35. Vehicle Arrivals at an Intersection. The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of

35. Vehicle Arrivals at an Intersection. The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds.

a. Sketch this exponential probability distribution.

b. What is the probability that the arrival time between vehicles is 12 seconds or less?

c. What is the probability that the arrival time between vehicles is 6 seconds or less?

d. What is the probability of 30 or more seconds between vehicle arrivals?

36. Time Spent Playing World of Warcraft. Suppose that the time spent by players in a single session on the World of Warcraft multiplayer online role-playing game follows an exponential distribution with a mean of 38.3 minutes.

a. Write the exponential probability distribution function for the time spent by players on a single session of World of Warcraft.

b. What is the probability that a player will spend between 20 and 40 minutes on a single session of World of Warcraft?

c. What is the probability that a player will spend more than 1 hour on a single session of World of Warcraft?

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