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CARLETON UNIVERSITY
DEPARTMENT OF ECONOMICS
ECON 3706 A: ASSIGNMENT 1
Please read the following instructions carefully:
1. Read the questions carefully and show all your work clearly.
2.
The assignment must be written in pen only.
If you write in pencil
then you do not have the option of revising your grade after you get back your
assignment.
3. The Frst page of your assignment should be a blank sheet of paper where you
write your name and student number only.
4. The assignment is due on the
14th of February
at the beginning of the class.
Late assignments will not be accepted.
1
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Question 1:
Let X and Y have a joint density given by
f
(
X,Y
) =
a
(1

X
)
,
0
≤
X
≤
1
,
0
≤
Y
≤
1
and zero elsewhere. Where,
k
is a constant.
(a) Find the value of
a
that makes this a probability density function. Use this
value for
a
in the pdf to work out the remaining questions.
(b) Find the marginal distribution of X and Y, i.e.
f
(
X
) and
f
(
Y
).
(c) Find
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 Spring '11
 CRABBE
 Economics

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