a) Suppose that A1, A2, and B are events where A1and A2are mutually exclusive events and P(A1) = .7, P(A2) = .3, P(BA1) = .2, P(BA2) = .4. Find P(B).(1 mark)

b) Suppose that A1, A2, and B are events where A1and A2are mutually exclusive events and P(A1) = .7, P(A2) = .3, P(BA1) = .2, P(BA2) = .4. Find P(A1B).(1 mark)

c) Suppose that A1, A2, and B are events where A1and A2are mutually exclusive events and P(A1) = .7, P(A2) = .3, P(BA1) = .2, P(BA2) = .4. Find P(A2B).(1 mark)

d) A supervisor found 6 defects in a production of 50 units. If the supervisor randomly draws two units, one at a time, in order to test their quality (no defect), calculate the probability that the supervisor draws two defective units.(1 mark)

e) A recent high school graduation report indicated that 87 percent of students successfully graduate. Calculate the probability that none of the to-be-randomly-picked 3 high school students will graduate.(1 mark)

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