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MHT CET202015 Oct 2020Morning ShiftMathematicsProbabilityActual

If f(x)= x+2 18 ,-2 < x < 4=0 , otherwise, is the p. d. f. of a r. v. X, then the value of P (| X | < 2) is

Options

  1. A5 9
  2. B4 9
  3. C2 9
  4. D1 9

Correct answer

B. 4 9

Step-by-step solution

aligned P (| x | < 2) &= _ -2 ² x +2 18 dx = 1 18 [ x ² 2 +2 x ]_ -2 ² &= 1 18 [(2-2)+2(2+2)]= 8 18 = 4 9 aligned

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