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Mathematics
Mathematics
Problem
Consider the following pdf of a normal variate
X
X
X
,
f
(
x
)
=
1
3
2
π
e
−
1
2
(
x
−
6
3
)
2
f(x)=\frac{1}{3\sqrt{2\pi}}e^{-\frac{1}{2}\left(\frac{x-6}{3}\right)^2}
f
(
x
)
=
3
2
π
1
e
−
2
1
(
3
x
−
6
)
2
;
−
∞
<
x
<
∞
-\infty<x<\infty
−
∞
<
x
<
∞
, write the mean and variance of
X
X
X
. (QB)
1
1
2
∣
x
−
6
3
∣
2
1 \quad \frac{1}{2}\left|\frac{x-6}{3}\right|^2
1
2
1
3
x
−
6
2
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