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Homework Help: Finding constant in Probability density function.

  1. May 25, 2012 #1
    A continuous random variable X has pdf:

    [tex] f_X(x)=\left \{ k(x+3), 0\leq x\leq 1\right \} [/tex]

    0 otherwise.

    Find k.

    I solved the integral (from 0..1) and solved for the result equal to 1.

    Hence I got k=2/7.

    Is this the right way to proceed as the question continues and I want to check if I'm starting correctly
  2. jcsd
  3. May 25, 2012 #2


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    yep, you just want to normalise to 1
  4. May 25, 2012 #3
    What do you mean normalize to 1 ?

    It was 7/2k=1
    So k=2/7

  5. May 25, 2012 #4

    Ray Vickson

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    Normalizing means making [tex]\int_0^1 f_X(x) \, dx = 1.[/tex]

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