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anonymous

  • 4 years ago

The random variable, X, has the probability density function \[f(x)=\left(\begin{matrix}kx^3 \\ 0\end{matrix}\right)\]\[0\le x \le 2 - {otherwise} - \] Find the probability that an observation lies withing one standard deviation of the mean.

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  1. anonymous
    • 4 years ago
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    k=1/4 btw

  2. anonymous
    • 4 years ago
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    can we use Chernoff's inequality?

  3. anonymous
    • 4 years ago
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    What's that?... I don't know it by name..

  4. anonymous
    • 4 years ago
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    http://en.wikipedia.org/wiki/Chernoff%27s_inequality

  5. cristiann
    • 4 years ago
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    Probability 0.7

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  6. anonymous
    • 4 years ago
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    Let me just read it through and see if I understand everything, but it's the right answer.

  7. anonymous
    • 4 years ago
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    One question, what does M stand for?

  8. anonymous
    • 4 years ago
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    mean?

  9. cristiann
    • 4 years ago
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    Yes ... mean ... average ...

  10. anonymous
    • 4 years ago
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    Then I understand it. Thank you!

  11. cristiann
    • 4 years ago
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    E(X) in fact ... I've used another notation ...sorry...

  12. cristiann
    • 4 years ago
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    You are welcome ... :)

  13. anonymous
    • 4 years ago
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    That's fine. I know it as \[\mu\] aswell

  14. amistre64
    • 4 years ago
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    f(x)={{kx^3}\choose{0}} might be an easier way to type that up \[f(x)={ {kx^3}\choose{0}}\]

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