Ana Markov's Travel and Markov Chains

What is Ana Markov's role at Normal Distributors?

• Quality Inspector

• Logistics Manager

• Production Supervisor

• Sales Representative

How many manufacturing plants does Normal Distributors have?

• Three

• Four

• Five

• Six

How does Ana Markov select her next inspection site?

• She follows a predetermined schedule.

• She randomly selects from all available direct flights with equal probability.

• She chooses the closest city.

• She is assigned her next destination by her manager.

Which city serves as a major hub with direct connections to all other cities?

• Averagemont

• Bayesville

• Continuopolis

• Discretetown

What does the Markov Property state regarding a process's future state?

• The future state depends on the entire history of past states.

• The future state is entirely random and unpredictable.

• The future state depends only on the present state, independent of the past.

• The future state is determined by a fixed sequence of events.

What is the term for the distribution of time spent in each city that a Markov chain converges to over a long period?

• Transient distribution

• Initial distribution

• Stationary distribution

• Random distribution

In the long run, approximately what percentage of her time will Ana Markov spend in Bayesville?

• 17%

• 25%

• 33%

• 8%

In the long run, approximately what percentage of her time will Ana Markov spend in East Vandermonde?

• 8%

• 17%

• 25%

• 33%

In the long run, which city will Ana Markov spend the most time in?

• Averagemont

• Bayesville

• Continuopolis

• Discretetown

What is the key factor that determines the stationary distribution of Ana's travel among the cities?

• The initial city she starts in

• The specific dates of her inspections

• The number of direct connections each city has

• The type of products manufactured in each plant