Sasha D.

asked • 02/22/16

Problem 6*. Calculate the expected value for a continuous random variable with density function: ??|x|/10, -2 = x = 4; 0, otherwise.

calculate expected value 

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Arnold F. answered • 02/22/16

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Turn f(x) into a split function and then integrate.
 
          -x/10    -2<x<0
f(x) =  
            x/10     0<x<4
 
 
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Sasha D.

got that, where do i go after! 
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02/22/16

Arnold F.

Since you want E(x) you integrate both pieces and add:
 
∫x(-x/10)dx from -2 to 0 and add ∫x(x/10)dx from 0 to 4.
 
e.g integrating (-x2)/10 gives -x3/30 from -2 to 0 = [0 - (8/30)] =-8/30
 
now integrate second piece and add.
 
 
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02/23/16

Sasha D.

thank you...
 
i got 28/15
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02/23/16

Arnold F.

Yes, that is what I got also.
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02/23/16

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