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MHT CET202415 May 2024Morning ShiftMathematicsProbabilityActual

For the probability distribution The Expected value of X is

Options

  1. A1.45
  2. B1.55
  3. C2.45
  4. D2.55

Correct answer

C. 2.45

Step-by-step solution

The sum of all probabilities in a probability distribution is always unity. aligned k +0.3 & +0.15+0.15+0.1+2 k =1 & 3 k & +0.7=1 3 k & =0.3 k & =0.1 E ( X ) & = x_ i P (x_ i ) & =0(0.1)+1(0.3)+2(0.15)+3(0.15) & =0.3+0.3+0.45+0.4+1 & =2.45 aligned

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