42 Random Variables
Objectives
: Students will be able to:
•
Define Random Variable, Probability Distribution, Discrete or Continuous
Random Variable;
•
Calculate Mean, Variance, and Standard Deviation of Random Variables;
•
Identify unusual results with the Range Rule of Thumb or Probabilities; and
•
Calculate Expected Value of a Random Variable.
Definitions
A
random variable
is a variable (typically represented by
x
) that has a single numerical
value, determined by chance, for each outcome of a procedure.
A
probability distribution
is a graph, table, or formula that gives the probability for
each value of a random variable.
Example
See page 167.
Definitions
A
discrete random variable
has either a finite number of values or a countable number
of values, where “countable” refers to the fact that there might be infinitely many values,
but they can be associated with the counting process.
A
continuous random variable
has infinitely many values, and those values can be
associated with measurements on a continuous scale in such a way that there are no gaps
or interruptions.
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 Spring '07
 Stone
 Statistics, Probability, Standard Deviation, Variance, Probability theory, 42 Random Variables

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