A survey in two sites of a firm included the following question: “How effective is management in responding to legitimate grievances of workers?” The results are shown here: Number Surveyed Number...

A survey in two sites of a firm included the following question: “How effective is management in responding to legitimate grievances of workers?”  The results are shown here:

                  Number Surveyed                      Number Responding “Poor”

Site 1
192                                                  48

Site 2
248                                                  80

Let A be the event a worker comes from Site 1.  Let B be the event the response is “poor.”

a.  Compute P(A).

b.  Compute P(B).

c.  Compute P(A ∩ B).

d.  Compute P(A ᴜ B).

e.  Are the events A and B independent? Support your answer with statistical proof.