Math 330 Statistics I
Problem Set 3
Fall 2009
This assignment will be graded, so you must do your own work. You may use your class notes and
text, but no outside references. You may not receive assistance from anyone else. If you have
questions about the problems, see me.
In order to receive full credit you must show clearly all steps necessary to obtain your answers. Be
complete and precise. On the other hand, including irrelevant work may also result in loss of credit.
Incoherent and illegible work will not be considered.
1. Three balanced coins are tossed independently. One of the variables of interest is Y
1
, the number
of heads. Let Y
2
denote the amount of money won on a side bet in the following manner. If the
first head occurs on the first toss, you win $1. If the first head occurs on toss 2 or on toss 3 you
win $2 or $3, respectively. If no heads appear, you lose $1, i.e. you win $1.
a) Find the joint probability function for Y
1
and Y
2
.
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 Fall '09
 Snyder
 Math, Statistics, Probability theory, $1, probability density function, $2, $3

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