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Katherine Nam
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Cards (5)
E
(
x
)
=
E(x) =
E
(
x
)
=
μ
;
Y
=
\mu ; Y =
μ
;
Y
=
b
X
+
bX +
b
X
+
a
a
a
E
(
Y
)
=
E(Y) =
E
(
Y
)
=
b
E
(
x
)
+
bE(x) +
b
E
(
x
)
+
a
=
a =
a
=
b
μ
+
b\mu +
b
μ
+
a
a
a
X is a random variable with variance
σ
2
;
Y
=
\sigma^2 ; Y =
σ
2
;
Y
=
b
X
+
bX +
b
X
+
a
a
a
v
a
r
(
Y
)
=
var(Y) =
v
a
r
(
Y
)
=
b
2
v
a
r
(
X
)
=
b^2var(X) =
b
2
v
a
r
(
X
)
=
b
2
σ
2
b^2\sigma^2
b
2
σ
2
requirements for a binomial distribution
each trial has
2
possible outcomes
each trial has the
same
probability of success (p)
n trials are
independent
number of possible values
n
+
1
Z-score
Z
=
Z =
Z
=
x
−
μ
σ
\frac{x-\mu}{\sigma}
σ
x
−
μ
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