Calculating Expected Value of Random Variables
Statistics and Probability · Flashcards
STATISTICS AND PROBABILITY · FLASHCARDS
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QUESTION
Calculate
E
(
X
)
E(X)
E
(
X
)
if
X
=
10
X=10
X
=
10
with probability
0.1
0.1
0.1
and
X
=
0
X=0
X
=
0
otherwise.
QUESTION
Identify the condition that must hold for a valid discrete probability distribution.
QUESTION
Find and correct the formula error:
E
(
X
)
=
∑
P
(
X
=
x
)
E(X)=\sum P(X=x)
E
(
X
)
=
∑
P
(
X
=
x
)
.
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ANSWER
Correct:
E
(
X
)
=
∑
x
P
(
X
=
x
)
E(X)=\sum x\,P(X=x)
E
(
X
)
=
∑
x
P
(
X
=
x
)
. Missing the multiplication by
x
x
x
in each term.
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