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Thread: Mean and median for continuous random variable

  1. #1
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    Exclamation Mean and median for continuous random variable

    Hi,
    Could someone please help me with this question, I am not sure how to approach it.
    I thought I could use two equations and solve them simultaneously but I am confused on what information to use.

    Thanks
    Attached Thumbnails Attached Thumbnails Mean and median for continuous random variable-screen-shot-2017-08-27-6.47.00-pm.png  
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  2. #2
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    Re: Mean and median for continuous random variable

    you have two integral conditions

    $\displaystyle \int_0^B~f(y)~dy = 1$

    $E[Y] = \displaystyle \int_0^B~yf(y)~dy = 2$

    substituting in $f(y)$ we get

    $\displaystyle \int_0^B~A y~dy = 1$

    $E[Y]=\displaystyle \int_0^B~Ay^2~dy = 2$

    I'm sure you can take it from here.
    Thanks from ChanelSapphire
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