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MATH 180A – Introduction to Probability
Review for Midterm 2 (NOT due)
1. At the mayor election in a very large city, 51% of the people support candidate A,
while 49% of the people support B. Use the normal approximation to the binomial
distribution to Fnd a numerical expression for the probability that among 500 people
surveyed in this city, 49% are for candidate A while 51% are for candidate B. (Assume
everybody has an opinion)
2. In some geographical area, 65% of the trees are oak trees. Suppose that in your Feld
work you survey 1,000 trees. What are the chances that you identify 700 oak trees? Use
the normal approximation to the binomial distribution to Fnd a numerical expression.
3. Let
f
(
x
) =
C e
−
3

x

deFned for all
x
∈
(
∞
,
∞
). Assume
f
is a probability density
function (PD±) and let
X
be a random variable with PD±
f
.
(a) ±ind
C
.
(b) Compute
P
(

2
≤
X
≤
3).
(c) Compute
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This homework help was uploaded on 02/03/2008 for the course MATH MATH 180A taught by Professor Castro during the Fall '08 term at UCSD.
 Fall '08
 Castro
 Approximation, Binomial, Probability

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