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MHT CET202016 Oct 2020Evening ShiftMathematicsProbabilityActual

The p.d.f. of a continuous r.v. X is given by f (x)= x 8 , 0 < x < 4=0 , otherwise, then P ( X 2) is

Options

  1. A5 16
  2. B9 16
  3. C7 16
  4. D1 4

Correct answer

D. 1 4

Step-by-step solution

(C) aligned P ( x 2) &= ₀² f ( x ) dx &= ₀² x 8 dx = 1 8 [ x ² 2 ]₀² 2² 16 -0= 4 16 = 1 4 aligned

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