Developing Empirical Probability Distributions, Expected Value
Statistics and Probability · Flashcards
STATISTICS AND PROBABILITY · FLASHCARDS
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QUESTION
What is
E
(
X
)
E(X)
E
(
X
)
for
X
∈
{
1
,
2
,
3
}
X\in\{1,2,3\}
X
∈
{
1
,
2
,
3
}
with
P
=
{
0.2
,
0.5
,
0.3
}
P=\{0.2,0.5,0.3\}
P
=
{
0.2
,
0.5
,
0.3
}
?
QUESTION
What is the sample space for
X
=
number of TV sets per household
X=\text{number of TV sets per household}
X
=
number of TV sets per household
if observed values are
0
0
0
to
5
5
5
?
QUESTION
What is the expected value formula for a discrete random variable
X
X
X
?
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ANSWER
E
(
X
)
=
∑
x
P
(
x
)
E(X)=\sum x\,P(x)
E
(
X
)
=
∑
x
P
(
x
)
. Multiply each value by its probability and sum all products.
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