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Learning Objectives
•
Recognize and use the probability mass functions of
common discrete random variables:
–
Uniform
–
Bernoulli
–
Binomial
–
Geometric
–
Poisson
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View Full Document Binomial
•
Construct from a sequence of n Bernoulli RV’s with parameter p
•
Binomial RV is the number of “successes” k in n trials
•
Binomial RV X with parameters n and p
p
X
(
k
)
=
n
k
p
k
(1

p
)
n

k
k
=
0
,1
,
K
,
n
Example
•
Toss a fair coin 20 times.
The binomial RV “X” is
the number of heads in the sequence:
•
Probability of 17 heads:
p
X
(
k
)
=
20
k
(0.5)
k
(1

0.5)
20

k
k
=
0
,1
,
K
,
n
p
X
(
k
=
17)
=
20
17
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This note was uploaded on 02/22/2010 for the course BME 335 taught by Professor Dunn during the Spring '10 term at University of Texas at Austin.
 Spring '10
 Dunn

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