CDA6530: Performance Models of Computers and Networks
Chapter 2:
Review of Practical Random
Variables

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2
Definition
Random variable (R.V.) X:
A function on sample space
X: S
→
R
Cumulative distribution function (CDF):
Probability distribution function (PDF)
Distribution function
F
X
(x) = P(X<x)
Probability density function (pdf):
Used for continuous R.V.
F
X
(
x
) =
R
x
−∞
f
X
(
t
)
dt
f
X
(
x
) =
dF
X
(
x
)
dx