Developing Empirical Probability Distributions, Expected Value
Statistics and Probability · Flashcards · Application
STATISTICS AND PROBABILITY · FLASHCARDS
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QUESTION
What is
E
(
X
)
E(X)
E
(
X
)
for
X
∈
{
0
,
1
,
2
,
3
}
X\in\{0,1,2,3\}
X
∈
{
0
,
1
,
2
,
3
}
with
P
=
{
0.1
,
0.2
,
0.3
,
0.4
}
P=\{0.1,0.2,0.3,0.4\}
P
=
{
0.1
,
0.2
,
0.3
,
0.4
}
?
QUESTION
Find
E
(
X
)
E(X)
E
(
X
)
if
P
(
X
=
1
)
=
0.25
P(X=1)=0.25
P
(
X
=
1
)
=
0.25
,
P
(
X
=
2
)
=
0.50
P(X=2)=0.50
P
(
X
=
2
)
=
0.50
,
P
(
X
=
3
)
=
0.25
P(X=3)=0.25
P
(
X
=
3
)
=
0.25
.
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
}
?
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ANSWER
E
(
X
)
=
2.1
E(X)=2.1
E
(
X
)
=
2.1
.
1
(
0.2
)
+
2
(
0.5
)
+
3
(
0.3
)
=
0.2
+
1.0
+
0.9
=
2.1
1(0.2)+2(0.5)+3(0.3)=0.2+1.0+0.9=2.1
1
(
0.2
)
+
2
(
0.5
)
+
3
(
0.3
)
=
0.2
+
1.0
+
0.9
=
2.1
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