Section M1
Quiz 3
Version B
ECON 506, Section M1
Solution
NAME: ___Ali Toossi_________________
Quiz 3, Version B
November 11 2010
NetID: ______________________________
Total points: 50
I.
(
7 points)
Let
40
2
1
,
,
,
X
X
X
denote a random sample of size 40 from the uniform
distribution U(0,1). Find
).
7
.
11
5
.
8
(
≤
≤
X
P
Solution:
There is a typo. The question meant to ask to find
).
57
.
0
43
.
0
(
≤
≤
X
P
However if you
do the following you will get the full point
Note that
12
1
)
(
,
5
.
0
)
(
=
=
i
i
X
V
X
E
=
<
<
=

≤
≤

=
≤
≤
)
245
175
(
)
480
1
5
.
0
7
.
11
480
1
5
.
0
5
.
8
(
)
7
.
11
5
.
8
(
Z
P
Z
P
X
P
II.
Let
40
2
1
,
,
,
X
X
X
denotes a random sample of size 40 from the Poisson distribution
with
=
λ
4. Suppose
X
is the mean of this sample. Let
30
2
1
,
,
,
Y
Y
Y
denotes a random
sample of size 30 from the standard normal distribution. Let
31
Y
be another independent
observation from the same population.
(a) (5 points)
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 Fall '08
 Staff
 Normal Distribution, Probability theory, probability density function, Yi, Section M1

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