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If X is the a random variable with pro...

If X is the a random variable with probability mass function `P(x) = kx `, for x = 1,2,3
= 0 , otherwise
then k = ……..

A

`(1)/(5)`

B

`(1)/(4)`

C

`(1)/(6)`

D

`(2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Since given function is probability mass function.
`Sigma P(X=x)=1`
`rArr" "P(X=1)+P(X=2)+P(X=3)=1`
`rArr" "k(1)+k(2)+k(3)=1`
`rArr" "6k=1`
`rArr" "k=(1)/(6)`
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Knowledge Check

  • Let X is a continuous random variable with probability density function f(x)={{:(x/6+k,0lexle3),(0," otherwise"):} The value of k is equal to

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