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ECEN 303: Assignment 6
Problems:
1. Two fair dice are rolled. Find the joint probability mass function of
X
and
Y
when
(a)
X
is the largest value obtained on any die and
Y
is the sum of the values;
(b)
X
is the value on the ±rst die and
Y
is the larger of the two values;
(c)
X
is the smallest and
Y
is the largest value obtained on the dice.
2. The number of people that enter a drugstore in a given hour is a Poisson random variable
with parameter
λ
= 10. Compute the conditional probability that at most 3 men entered the
drugstore, given that 10 women entered in that hour. What assumptions have you made?
3. Let
a
and
b
be positive integers with
a
≤
b
, and let
X
be a random variable that takes as
values, with equal probability, the powers of 2 in the interval [2
a
,
2
b
]. Find the expected value
and the variance of
X
.
4. A stock market trader buys 100 shares of stock
A
and 200 shares of stock
B
. Let
X
and
Y
be the price changes of
A
and
B
, respectively, over a certain time period, and assume that
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This note was uploaded on 03/30/2010 for the course ECEN 303 taught by Professor Chamberlain during the Fall '07 term at Texas A&M.
 Fall '07
 Chamberlain

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