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Question

X is a random variable with distribution given below

Then the value of k and variance are

  1. fraction numerator 1 over denominator 8 end fraction comma fraction numerator 22 over denominator 27 end fraction    
  2. fraction numerator 1 over denominator 8 end fraction comma fraction numerator 23 over denominator 27 end fraction    
  3. fraction numerator 1 over denominator 8 end fraction comma fraction numerator 24 over denominator 27 end fraction    
  4. fraction numerator 1 over denominator 8 end fraction comma fraction numerator 3 over denominator 4 end fraction    

The correct answer is: fraction numerator 1 over denominator 8 end fraction comma fraction numerator 3 over denominator 4 end fraction


    capital sigma P open parentheses X equals x subscript i end subscript close parentheses equals 1 comma V left parenthesis x right parenthesis equals capital sigma x subscript i end subscript superscript 2 end superscript P open parentheses X equals x subscript i end subscript close parentheses minus mu to the power of 2 end exponent

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