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The Probability Distribution Function of Continuous Random Variable X is Given by F( X ) = X/4, 0 < X < 2 = 0, Otherwise Find P( X ≤ 1) - Mathematics and Statistics

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प्रश्न

The probability distribution function of continuous random variable X is given by
f( x ) = `x/4`,  0 < x < 2
        = 0,       Otherwise
Find P( x ≤ 1)

बेरीज

उत्तर

P( x ≤ 1) = `int_0^1 f( x )` dx

              = `int_0^1 x/4` dx

              = `[ x^2/8 ]_0^1`

              = `1/8`

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2015-2016 (March)

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