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Signal and systems miscellaneous
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Signal and systems miscellaneous
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Signals and Systems
Signal and systems miscellaneous
The mean of a random variable, whose pdf is
f
x
(x) =
x
; 0 < x < 4
4
0; otherwise
1
3
2
3
5
3
16
3
Correct Option:
D
Given f
x
(x) =
x
; 0 < x < 4
4
0; otherwise
Mean, u
x
=
∞
xf
x
(x)dx
– ∞
=
4
x·
x
dx
0
0
=
4
x
2
dx
0
4
=
x
3
4
12
0
=
64
12
=
16
3
Hence, alternative (D) is the correct choice.
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