If the random variable X takes the values `x_1,x_2,x_3….,x_(10)` with probablilities P `(X=x_i)=ki` , then the value of k is equal to
If the random variable X takes the values `x_1,x_2,x_3….,x_(10)` with probablilities P `(X=x_i)=ki` , then the value of k is equal to
A. `1/(10)`
B. `1/4`
C. `1/(55)`
D. `7/(12)`
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Correct Answer - C
As we know, the sum of all the probabilities in probability distrubution is one
`thereforeP(X=x_1)+P(X=x_2)+...+P(X=x_(10))=1`
`rArr" "1k+2k+3k+...+10k=1`
`rArr" "(10(10+1))/2k=1rArrk=1/(55)`
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