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MHT CET202016 Oct 2020Morning ShiftMathematicsProbabilityActual

The p.d.f. of c.r.v. X is given by f(x)= x+2 18 if -2 < x < 4=0 otherwise then P [|x| < 1]=

Options

  1. A1 18
  2. B4 9
  3. C2 9
  4. D1 9

Correct answer

C. 2 9

Step-by-step solution

(A) array c f(x)= x+2 18 , -2 < x < 4 =0, otherwise aligned P(|x| < 1)=P(-1 < x < 1) &= _ -1 ¹ x+2 18 dx &= _ -1 ¹ f(x) d x= 1 18 [ 1 2 +2- 1 2 +2 ]= 4 18 = 2 9 aligned array

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