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A random variable X takes the values 0,1...

A random variable X takes the values `0,1,2,3,...,` with prbability `PX(=x)=k(x+1)((1)/(5))^x`, where k is a constant, then `P(X=0)` is.

A

`7/(25)`

B

`(16)/(25)`

C

`(18)/(25)`

D

`(19)/(25)`

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The correct Answer is:
B
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