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Math Help - Probability Distribution Help?

  1. #1
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    Probability Distribution Help?

    Hey there,

    I was wondering if anyone could shed any light on thse questions. My knowledge in this area is sketchy. I would welcome any help greatly!



    Kind Regards,
    Ross
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  2. #2
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    Quote Originally Posted by RossBrons View Post
    Hey there,

    I was wondering if anyone could shed any light on thse questions. My knowledge in this area is sketchy. I would welcome any help greatly!



    Kind Regards,
    Ross
    I have time for Q19 (i) and (ii):

    Mean: E(X) = \int_{-\infty}^{\infty} x \, f(x) \, dx = \int_0^1 x \, 2 (1 - x) \, dx = \int_0^1 2x (1 - x) \, dx = \, ....

    Variance: Var(X) = E(X^2) - [E(X)]^2.

    E(X^2) = \int_{-\infty}^{\infty} x^2 \, f(x) \, dx = \int_0^1 x^2 \, 2 (1 - x) \, dx = \int_0^1 2x^2 (1 - x) \, dx = \, ....

    (iii) You should do some research.
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  3. #3
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    Quote Originally Posted by RossBrons View Post
    Hey there,

    I was wondering if anyone could shed any light on thse questions. My knowledge in this area is sketchy. I would welcome any help greatly!
    Kind Regards,
    Ross
    For Q20, read this: http://en.wikipedia.org/wiki/Standard_error_(statistics)
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  4. #4
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    Quote Originally Posted by mr fantastic View Post
    I have time for Q19 (i) and (ii):

    Mean: E(X) = \int_{-\infty}^{\infty} x \, f(x) \, dx = \int_0^1 x \, 2 (1 - x) \, dx = \int_0^1 2x (1 - x) \, dx = \, ....

    Variance: Var(X) = E(X^2) - [E(X)]^2.

    E(X^2) = \int_{-\infty}^{\infty} x^2 \, f(x) \, dx = \int_0^1 x^2 \, 2 (1 - x) \, dx = \int_0^1 2x^2 (1 - x) \, dx = \, ....

    (iii) You should do some research.
    Regarding (iii):

    1. Read this (well I think it's funny and it's something I didn't know): Urban Dictionary: grauniad

    2. Read this regarding iii (c): Poisson distribution

    3. Read this regarding iii (a): Poisson process - Wikipedia, the free encyclopedia

    Now read this: Poisson distribution - Wikipedia, the free encyclopedia

    So which option does that leave ....?
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