Econ. 180. Assignment 3.
Probability Distributions for Discrete Random Variables.
D1.
A random variable (r.v.)
is a
variable
that assumes numerical values associated with
the random outcomes of an
experiment
, where one (and only one) numerical value is
assigned to
each sample point
.
D2
. Discrete random variable
: r.v. that can be assumed a countable number of values.
D3
. The probability distribution of a discrete r.v
. is a
graph
,
table
, or
formula
that
specifies the probability associated with each possible value the r.v. can assume.
Requirements:
Let x = discrete r.v.
1. p(x) ≥ 0 for all values of x.
2. Σp(x) = 1.
where the summation (Σ) of p(x) is over all possible value of x.
Note:
The probability distribution for a random variable is a theoretical model for the
relative frequency distribution of population.
Thus the probability distribution of x can
be described by a mean (μ) and a variance (σ
2
).
D4
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 '10
 Shieh,YeungNan
 Probability distribution, Probability theory, American Dental Association, Discrete probability distribution

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