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  1. The function shown in figure, can represent a probability density function for A __________ .

  2. A.
    A = 1/4
    B.
    A = 1/6
    C.
    A = 1/8
    D.
    A = 1/2

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    Answer : Option C

    Explanation :

    The condition for the probability density of function d(x) is f(x)dx = 1 and is always non negative or the area under the curve f(x) is unity.

    ⇒ A x 6 + x 2 x 2A = 1

    or 8A = 1, or A = .


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