Last name:
November 4, 2010
First name:
PID:
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This exam contains
ten
short answer questions (worth 6 points each) and
three
long answer questions (worth 20 points each).
Please answer in the space
provided; if you need more room, indicate clearly that the answer is continued
on the back of the page.
In all problems where you need to make a calculation,
simplify your answer as much as possible. Show your work clearly to be eligible
for partial credit.
Some PDFs:
Some probabilities:
f
(
x
)
=
1
2
πσ
2
e
−
(
X
−
μ
)
2
2
σ
2
P
[
x
≤
a
]
=
1
−
e
−
λ
a
f
(
x
)
=
1
u
−
P
[
x
]
=
x
e
−
x
!
f
(
x
)
=
e
−
x
P
[
x
]
=
n
!
x
!(
n
−
x
)!
p
x
(1
−
p
)
n
−
x
1.
The random variable
X
between 15 and 20?
2.
In a normal distribution, what fraction of the population is within 2.5 standard
deviations of the mean?
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 Fall '08
 turchi
 Normal Distribution, Standard Deviation, Variance, Probability theory, probability density function

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