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Math Help - normalizing a probability distribution

  1. #1
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    normalizing a probability distribution

    Given the probability distribution:

    p (x) = ax^n ,0 ≤ x ≤1, for a positive integer n

    What does it mean to normalize p(x) and how would I develop an expression for "a" that normalizes p(x)? Thank you in advance.
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  2. #2
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    Quote Originally Posted by carnot View Post
    Given the probability distribution:

    p (x) = ax^n ,0 ≤ x ≤1, for a positive integer n

    What does it mean to normalize p(x) and how would I develop an expression for "a" that normalizes p(x)? Thank you in advance.
    Find the value of a such that \int_{0}^1 a x^n \, dx = 1.
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  3. #3
    MHF Contributor matheagle's Avatar
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    That's a Beta by the way.
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