STAT 230
Test #1
Sept 27, 2005
4:305:15
For all of the problems below, show your work in the space indicated! Note: the solutions
to the other version of the test are similar except that the numbers are changed. For 2
(c), using the numbers given, the answer is
>
1 so any indication that you used the correct
formula should get full marks.
UWUserid:
Name:
I.D. No:
Section (check one):
¤
4
@10:30 (Cutler)
¤
3
@11:30 (Wu)
¤
5
@12:30 (McLeish)
¤
1
@1:30 (DiCesare)
¤
2
@1:30 (Wu)
1. A UW student investment club consists of 6 graduate students (G) and 7 undergraduates
(U). Three graduate students and two undergraduate students are female. Suppose three
members are randomly selected (without replacement) to form an executive committee. Find
the probability that
[4]
(a) the committee has exactly one undergraduate student on it.
There are
¡
7
1
¢
ways of choosing the undergraduate and then
¡
6
2
¢
ways of choosing the graduate
student for the committee if we are required to hvae exactly one undergraduate student on the
committee. If there are no constraints on the number of undergraduates on the committee, it can
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 Fall '06
 various
 Bachelor's degree, Postgraduate education, executive committee, Undergraduate education, female students, graduate students

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