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Probability Density Function?

Given f(x)=Cx^2-3x

Determine C which makes f a valid probability density function, the given interval is from -1 to 1...i determined C which is equal to 3/2 i believe however Cx^2-3x isnt all positive if c=3/2.

Thanks

1 Answer

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  • 8 years ago
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    Ricky

    You are absolutely correct!

    C must equal 3/2 in order for the integral to equal 1 over [-1,1]

    But, as you noted, f(x) turns negative [0,1]

    Must be a typo in the problem.

    Hope that helps

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