Suppose a random variable X has the probability density function f(x) = 1.5 x² for -1

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Author:Amos Gilat
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Suppose a random variable X has the probability density function f(x) = 1.5 x² for -1<x< 1
and f(x) = 0 elsewhere. Obtain the standard deviation of X. Round your answer to 2 decimal
places. SHOW WORK.
J =
2
M = √(x fcx) dx
0.77
Answer value
I
-1
2
x fcx) dx - 14²
2
v² = (
² = ( 2² (152²) 4² = [ {√x (13²³) d₂ ] ²
σ
dx
2
5x
[1³] ²
4
T
a
J
O
DELL
O
D
Transcribed Image Text:Suppose a random variable X has the probability density function f(x) = 1.5 x² for -1<x< 1 and f(x) = 0 elsewhere. Obtain the standard deviation of X. Round your answer to 2 decimal places. SHOW WORK. J = 2 M = √(x fcx) dx 0.77 Answer value I -1 2 x fcx) dx - 14² 2 v² = ( ² = ( 2² (152²) 4² = [ {√x (13²³) d₂ ] ² σ dx 2 5x [1³] ² 4 T a J O DELL O D
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