The faculty senate of a certain college has 20 members. Suppose there are 12 men and 8 women. A committee of 10 senators is selected at random. a. What is the probability that there will be 6 men and 4 women on the committee? [4 marks] b. What is the expected number of men on this committee? [3 marks] c. What is the variance of the number of men on this committee? [4 marks]
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Answer:
a)
s=20
the probability of selecting 6 men=12C6×8C4
==64820
b)
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