Maths-
General
Easy

Question

The distribution of a random variable X is given below

The value of k is

  1. fraction numerator 1 over denominator 10 end fraction    
  2. fraction numerator 2 over denominator 10 end fraction    
  3. fraction numerator 3 over denominator 10 end fraction    
  4. fraction numerator 7 over denominator 10 end fraction    

hintHint:

We know that, Sum of all the probabilities in an event  = 1. Use this to find out the answer.

The correct answer is: fraction numerator 1 over denominator 10 end fraction


    We know that,
    Sum of all the probabilities in an event  = 1
    P(x= -2) + P(x= -1) + P(x= 0) + P(x= 1) + P(x= 2) + P(x= 3) = 1
    fraction numerator 1 over denominator 10 space end fraction plus space k space plus space 1 fifth plus 2 k plus space 3 over 10 plus k equals space 1
fraction numerator 1 plus space 10 k plus 2 plus 20 k plus 3 plus 10 k over denominator 10 end fraction equals space 1
40 k space plus 6 equals space 10
40 k equals space 10 minus 6
40 k equals 4
k space equals space 1 over 10

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