SOLUTION: a. Determine the probability distribution, in table form and graphical form, for the number of students selected to be in a six-person fund-raising committee from 9 students and 1

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Question 1159931: a. Determine the probability distribution, in table form and graphical form, for the number of students selected to be in a six-person fund-raising committee from 9 students and 11 teachers.
b. What is the expected number of students on the committee?
Answer by Boreal(15235) About Me  (Show Source):
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for 0, it is 9C0*11C6/20C6=462/38760=0.0119
for 1, it is 9C1*11C5/38760=4158/38760=0.1073
for 2, 11880/38760=0.3065
for 3, 9C3*11C3/38760=0.3576
for 4, 9C4*11C2/38760=6940/38760=0.1788
for 5, 9C5*11C1/38760=0.0358
for 6, probability is 0.0022
expected value of students is sum of number * probability
=0+0.1073+.6130+1.0728+0.7032+0.1790+0.0132=2.6885 students.