•
So far we have focused on probabilities of events or outcomes.
•
Now we will classify those outcomes with random variables.
•
A
random variable
is a numerical description of an experiment.
Ex
: Consider the experiment of tossing a coin twice. Let the random variable
x
be the number of heads. What are the possible values for
x
?
Discrete Random Variables
A random variable that assumes either a ﬁnite number of values or an inﬁnite
sequence of values such as 0
,
1
,
2
,...
Ex
: Consider the experiment of running a restaurant for a day. Let the
random variable
x
be the number of customers. What are the possible values
for
x
?
Ex
: Consider the experiment of selling a car. Let
x
= 0 if the gender of
the customer is male, and let
x
= 1 if the customer is female.
Continuous Random Variables
A random variable that may assume any numerical value in an interval or
collection of intervals.
1
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 Fall '10
 Jager,AbigailL
 Probability theory

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