At border inspection, vehicles arrive at a rate of 10 per hour in a Poisson distribution. Assume there is only one lane and one inspector, who can inspect vehicles at a rate of 12 per hour in an exponentially distributed fashion. a. What is the average length of the waiting line?
b. What is the average time that a vehicle must wait to get through the system?
c. What is the utilization of the inspector?
d. What is the probability that when you arrive there will be three or more vehicles ahead of you?

Read the overview below and complete the activities that follow.apartment complexes often look for ways to recruit new tenants and retain current tenants. although apartment complexes offer the tangible benefit of shelter to their tenants, many apartment complexes also offer additional services to tenants to encourage tenants to stay or to support the rent prices. the following scenario identifies the several service gaps of a company that runs an apartment complex as well as solutions for reducing these service gaps.concept review: customers have certain expectations about how a service should be delivered. a service gap occurs when the delivery of a service fails to meet customer expectations. there are four types of service gaps: knowledge gap, standards gap, delivery gap, and the communications gap. it is important for marketers to identify these gaps and develop strategies for minimizing them.match the example or solution to the appropriate service gap category.1. wait for repairs 5. train employees well2. understand expectations 6. incentives for tenants3. do not overpromise 7. family movie night4. empower employees 8. delayed lawn careservice gap example solutionknowledge gap standards gap delivery gap communication gap