EE131A
[Type text]
Practice Midterm
Problem 1.
(total: 20pts)
From a group of 5 women and 7 men, a committee is to be
formed by picking
5 members
randomly from this group of 12 individuals:
(a)
(5pts
)
What is the probability that the committee has
exactly
2 women and 3
men?
(b)
(10pts
)
Two men, Mr. Jones and Mr. Chen, are sworn enemies. What is the
probability that the committee has two women and 3 men, but
not both
Mr
Jones and Mr. Chen?
(c)
(5pts)
Given that the randomly picked committee has 2 women and 3 men,
what is the
conditional probability
that the committee does not have
both
Mr Jones and Mr. Chen?
Problem 2
(total: 25 pts)
A bin contains three different types of disposable flashlisghts. The
probability that a type 1 flashlisght will give over 100 hours of use is 0.7; the corresponding
probabilities for type 2 and and 3 flashlisghts being 0.4 and 0.3, respectively. Suppose that 20%
of the flashlights in the bin are type 1, 30% are type 2, and 50% are type 3.
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 Fall '08
 Walker
 Digital Signal Processing, Probability, Signal Processing, pts, Dice, Mr. Jones, 0.5%

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