If the probability of a random variable X is a given below : `{:(X=x:,-2,-1,0,1,2,3),(P(X=x):,(1)/(2),k,(1)/(5),2k,(3)/(10),k):}` Then the value of k, is :A. `(1)/(10)`B. `(2)/(10)`C. `(3)/(10)`D. `(7)/(10)`

If the probability of a random variable X is a given below : `{:(X=x:,

1.	If the probability of a random variable X is a given below : `{:(X=x:,-2,-1,0,1,2,3),(P(X=x):,(1)/(2),k,(1)/(5),2k,(3)/(10),k):}` Then the value of k, is :A. `(1)/(10)`B. `(2)/(10)`C. `(3)/(10)`D. `(7)/(10)`
Answer» Correct Answer - A The given distribution is a probability distribution. `therefore P(X=-2)+P(X=-1)+P(X=0)+P(X=1)+P(X=2)+P(X=3)=1` `rArr (1)/(10)+k+(1)/(5)+2k+(3)/(10)+k=1rArr 4k=(4)/(10)rArr k=(1)/(10)`

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