Maths-
General
Easy

Question

The mean and variance of the random variable X which follows the following distribution are respectively

  1. 3,1    
  2. 3,2    
  3. 1,3    
  4. 2,5    

The correct answer is: 3,1


    table row cell text end text text M end text text e end text text a end text text n end text text end text text o end text text f end text text end text X equals mu equals sum x subscript i end subscript P open parentheses X equals x subscript i end subscript close parentheses end cell row cell equals 1 left parenthesis 0.1 right parenthesis plus 2 left parenthesis 0.2 right parenthesis plus 3 left parenthesis 0.3 right parenthesis plus 4 left parenthesis 0.4 right parenthesis equals 3 end cell row cell text end text text v end text text a end text text r end text text i end text text a end text text n end text text c end text text e end text text end text text o end text text f end text text end text X equals sigma to the power of 2 end exponent equals sum 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 end cell row cell equals left parenthesis 1 right parenthesis to the power of 2 end exponent left parenthesis 0.1 right parenthesis plus 2 to the power of 2 end exponent left parenthesis 0.2 right parenthesis plus 3 to the power of 2 end exponent left parenthesis 0.3 right parenthesis plus 4 to the power of 2 end exponent left parenthesis 0.4 right parenthesis minus left parenthesis 3 right parenthesis to the power of 2 end exponent end cell end table

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