1000 residents from 3 bay area cities were asked if they live alone or with others. The results are summarized below:

San Francisco San Jose Oakland Total

Alone 175 80 45 300

With Others 325 270 105 700

Total 500 350 150 1000

a.Are "Oakland" and "Alone" Independent or Dependent Events?

b.Are "San Francisco" and "Alone" Independent or Dependent Events?

Answer both these questions below and justify and explain your answers using the definition of Independence that P(A|B) = P(A). Show your work.