Response to the following problem:
Gameland is a combination miniature golf course and video arcade. One of the most popular games in the arcade is Thunderblaster, a virtual reality space trip. The playing time for Thunderblaster is exactly 2 minutes. An additional 30 seconds is required for a player to put on the virtual reality helmet. Customers arrive to play the game according to a Poisson process at an average rate of once every 3 minutes.
a. What is the average time a player waits in line to play Thunderblaster?
b. On the average, how many people are playing or waiting to play Thunderblaster?