Mean and Standard Deviation
AP Statistics · Flashcards
AP STATISTICS · FLASHCARDS
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QUESTION
Find the variance of a random variable
X
X
X
with
V
a
r
(
X
)
=
9
Var(X)=9
V
a
r
(
X
)
=
9
after
Y
=
2
X
−
3
Y=2X-3
Y
=
2
X
−
3
.
QUESTION
Calculate the variance for
P
(
X
=
1
)
=
0.4
P(X=1)=0.4
P
(
X
=
1
)
=
0.4
,
P
(
X
=
2
)
=
0.6
P(X=2)=0.6
P
(
X
=
2
)
=
0.6
. Mean is
1.6
1.6
1.6
.
QUESTION
Identify the standard deviation of a Poisson random variable with rate
lambda
\text{lambda}
lambda
.
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ANSWER
Standard deviation is
sqrt(lambda)
\text{sqrt(lambda)}
sqrt(lambda)
. Poisson standard deviation is square root of rate parameter.
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