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Math Help - Uniform Distribution

  1. #1
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    Uniform Distribution

    I just want to see if I am doing this right. the width is 0 to b, with f(x)=1/2, first I try to find b first, since the area is 1=bXh ----> 1=bX(1/2) ---> b=2.

    Now, I have to find P(x<1) not to be confused with []
    so, in this case, P(0<x<1)= (1-0)*(1/2)= 1/2

    P(1<x<4)

    Since 4 is not in the function, it would be P(1<x<2), so, (2-1)*(1/2) = 1/2

    Lastly, since the width goes from 0 to 2, the median of the distribution is 1.

    I have a test in the morning and just want to get it right.

    My side question is does it matter if it is greater or greater or equal to and vice-versa?

    Thanks in advance.
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  2. #2
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    Re: Uniform Distribution

    Quote Originally Posted by driver327 View Post
    I just want to see if I am doing this right. the width is 0 to b, with f(x)=1/2, first I try to find b first, since the area is 1=bXh ----> 1=bX(1/2) ---> b=2.

    Now, I have to find P(x<1) not to be confused with []
    so, in this case, P(0<x<1)= (1-0)*(1/2)= 1/2

    P(1<x<4)

    Since 4 is not in the function, it would be P(1<x<2), so, (2-1)*(1/2) = 1/2

    Lastly, since the width goes from 0 to 2, the median of the distribution is 1.

    I have a test in the morning and just want to get it right.

    My side question is does it matter if it is greater or greater or equal to and vice-versa?

    Thanks in advance.
    Your answers are correct.

    No, it doesn't matter at this level.
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