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MHT CET202014 Oct 2020Morning ShiftMathematicsProbabilityActual

The p. d. f. of a continuous random variable X is given by f(x)= 1 2 if 0 3 2 ) , then relation between a and b is

Options

  1. Aa-b=0
  2. B2a-b=0
  3. C3a-b=0
  4. Da-2 b=0

Correct answer

A. a-b=0

Step-by-step solution

aligned a &=PX 3 a 2 = f(x) d x . &= _ 3 2 ² f(x) d x+ ₂^ f(x) d x= _ 3 2 ² 1 2 d x+0 &= 1 2 [x]_ 3 2 ²= 1 2 (2- 3 2 )= 1 2 1 2 = 1 4 b= 1 4 & a-b= 1 4 - 1 4 =0 aligned

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