White & Sons wholesale fruit distributions employs a single crew whose job is to unload fruit from farmer’s trucks. Trucks arrive at the unloading dock at an average rate of 5 per hour Poisson distributed. The crew is able to unload a truck in approximately 10 minutes with exponential distribution.

On average, how many trucks are waiting in the queue to be unloaded?

Management has received complaints that waiting trucks block the alley to the business next door. If there is room for 2 trucks at the loading dock before the alley is blocked, how often will this problem arise?

What is the probability that an arriving truck will find space available at the unloading dock and not block the alley?