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Expected values
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Created by
Zak Whitaker
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Cards (11)
DRVs:
E(X) =
sum
of
x*p
DRVs:
Var(X) =
E(X^2)
-
E(X)^2
DRVs:
Mode = value of X with
greatest probability
DRVs:
Median = P(X=<M) =
0.5
P(X=>M) =
0.5
DUDs:
E(X) = (
n+1
)/
2
CRVs: E(X) = ∫
x
*
f(x)
dx
Limits are
-infinity
and
infinity
CRVs: E(X^2) = ∫
x^2
*
f(x)
dx
Limits are
-infinity
and
infinity
CRVs:
Var(X) =
E(X^2)
-
E(X)^2
CRVs:
Lower quartile Q1 =CRVs: ∫
f(x)
dx =
1/4
Limits are
-infinity
and
Q1
Median [M] would be between
-infinity
and
M
, and would be equal to
1/2
CRVs:
E(aX + b) =
aE(X)
+
b
Var(aX + b) =
a^2Var(x)
DRVs:
E(X^-2) =
∑
\sum
∑
1/x^2
*
P(X=x)
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