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AP EAMCET202317 May 2023Evening ShiftMathematicsProbabilityActual

If X is a random variable such that P(X=-2)=P(X=-1)=P(X=2)=P(X=1)= 1 6 and P(X=0)= 1 3 , then the mean of X is

Options

  1. A5 3
  2. B1
  3. C0
  4. D3 5

Correct answer

C. 0

Step-by-step solution

p(X=-2)=p(X=-1)=p(X=2)=p(X=1)= 1 6 aligned & & p(X=0)= 1 3 & Mean =(-2) p(X=-2)+(-1) p(X=-1)+0 p(X=0)+ & 1. p(X=1)+2 p(X=2) & =-2 1 6 - 1 6 +0+ 1 6 +2 1 6 Mean =0 aligned

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