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Math Help - need help with pdf homework #1

  1. #1
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    need help with pdf homework #1

    The p.d.f of X is f(x) = {x if 0 ≤ x ≤ 1} and {c/x^3 if 1 ≤ x < 1} and 0 elsewhere. Find:

    1. the value of c such that f(x) is a p.d.f.

    2. the mean of X, if it exists.

    3. the variance of X , if it exists.

    4. P(1/3 < X ≤ 3).
    Last edited by mr fantastic; October 20th 2009 at 02:38 PM. Reason: Moved from original thread and re-titled
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  2. #2
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    Quote Originally Posted by affelix View Post
    The p.d.f of X is f(x) = {x if 0 ≤ x ≤ 1} and {c/x^3 if 1 ≤ x < 1} and 0 elsewhere. Find:

    1. the value of c such that f(x) is a p.d.f.

    2. the mean of X, if it exists.

    3. the variance of X , if it exists.

    4. P(1/3 < X ≤ 3).
    All these questions are answered using the basic definitions and formulae. What have you tried and where do you get stuck?

    Note: How to do 1. is given here: http://www.mathhelpforum.com/math-he...-homework.html
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