University survey

The table below summarizes the results of a survey that asked 5000 faculty and students at a Canadian university whether they support a proposed ban on the sale of junk food (chips, pop, candy, and chocolate bars) on campus.
Support Oppose Neutral Total
Faculty 250 40 10 300
Students 1000 3500 200 4700
Total 1250 3540 210 5000
Figure 1. Survey data.
If one of the 5000 individuals surveyed is selected at random:
a. Find the probability that the individual selected opposes the proposed ban.
b. Find the probability that the individual selected is a student.
c. Find the probability that the individual selected is a student and opposes the proposed ban.
d. Find the probability that the individual selected is faculty or supports the proposed ban.
e. Find the probability that the individual selected is a student given that the individual selected opposes the proposed ban.
f. Find the probability that the individual selected supports the proposed ban given that the individual selected is faculty.
g. Are the events “being a student” and “support the proposed ban” mutually exclusive events? Explain. [2 marks]
h. Are the events “being a student” and “oppose the proposed ban” independent events? Determine the answer by showing the appropriate math work.