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Raja99

  • 3 years ago

what is the expected value of x^2 in mathematical form?

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  1. Raja99
    • 3 years ago
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    in a simplified form

  2. lgbasallote
    • 3 years ago
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    what do you mean?

  3. ParthKohli
    • 3 years ago
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    \(x \times x\) I think that's what you mean.

  4. Raja99
    • 3 years ago
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    yeah

  5. lgbasallote
    • 3 years ago
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    mathematical form?

  6. ParthKohli
    • 3 years ago
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    Hmm. Similarly: \( \color{Black}{\Rightarrow x^3 = x \times x\times x}\) \( \color{Black}{\Rightarrow x^4 = x \times x \times x \times x}\)

  7. ParthKohli
    • 3 years ago
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    'Mathematical form' is still ambiguous.

  8. Raja99
    • 3 years ago
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    some stats people know may know

  9. UnkleRhaukus
    • 3 years ago
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    \[\langle x^2\rangle =\sum\limits_{j=0}^\infty x^2 P(j)\]

  10. ParthKohli
    • 3 years ago
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    lol

  11. lgbasallote
    • 3 years ago
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    \[\int 2xdx\]

  12. Aryang
    • 3 years ago
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    this reminds me of a very fundamental/basic question in calculus..please see my next question..i'll post link..

  13. lgbasallote
    • 3 years ago
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    \[\frac{d}{dx} (\frac{x^3}{3})\]

  14. UnkleRhaukus
    • 3 years ago
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    what are you doing at @lgbasallote ,

  15. lgbasallote
    • 3 years ago
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    \[x^2 = r^2 - y^2\]

  16. lgbasallote
    • 3 years ago
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    trying to get all that's x^2 and see if anythign suits him

  17. Aryang
    • 3 years ago
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    http://openstudy.com/study?login#/updates/4ffffc85e4b0848ddd64e880

  18. UnkleRhaukus
    • 3 years ago
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    im pretty sure i have provided the answer to the question

  19. lgbasallote
    • 3 years ago
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    we all think that...

  20. UnkleRhaukus
    • 3 years ago
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    ,oh

  21. Raja99
    • 3 years ago
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    i need E(x^2)=?

  22. UnkleRhaukus
    • 3 years ago
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    the expectiation value of \(x\) \[\langle x\rangle =E(x)\]

  23. Raja99
    • 3 years ago
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    @UnkleRhaukus yes but x^2

  24. lalaly
    • 3 years ago
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    \[Var(x)=E(x^2)-(E(x))^2\]

  25. Raja99
    • 3 years ago
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    i got the ans... thanks all

  26. UnkleRhaukus
    • 3 years ago
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    \[\sigma_x=\langle x^2\rangle-\langle x\rangle ^2\]

  27. lalaly
    • 3 years ago
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    :D

  28. Raja99
    • 3 years ago
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    ya ur right

  29. UnkleRhaukus
    • 3 years ago
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    The expectation value , or expect value of a function is \[\langle f(x)\rangle =\sum\limits_{x=0}^\infty f(x)P(x)\] where \(P(x)\) is the probability of x

  30. Raja99
    • 3 years ago
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    yes for a discrete random variable

  31. UnkleRhaukus
    • 3 years ago
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    im not sure why i put j instead of x,

  32. UnkleRhaukus
    • 3 years ago
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    oh, you want a continuous function?

  33. Raja99
    • 3 years ago
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    no i know

  34. Raja99
    • 3 years ago
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    thank you

  35. UnkleRhaukus
    • 3 years ago
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    \[\langle f(x)\rangle=\int\limits_{-\infty}^\infty f(x)\rho(x)\text dx\]

  36. Raja99
    • 3 years ago
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    ya

  37. UnkleRhaukus
    • 3 years ago
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    where \(\rho(x)\) is the probability density

  38. UnkleRhaukus
    • 3 years ago
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    so \[\langle x^2\rangle=\int\limits_{-\infty}^\infty x^2\rho(x)\text dx\]

  39. Raja99
    • 3 years ago
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    @UnkleRhaukus small question the E(constant) is a constant right

  40. UnkleRhaukus
    • 3 years ago
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    if the distribution of the variable \(x\) is constant , yes

  41. Raja99
    • 3 years ago
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    thanks

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