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If f(x) = {(kx^(2),0ltxlt 3),(0,"elsewhe...

If f(x) = `{(kx^(2),0ltxlt 3),(0,"elsewhere"):}` is a probability density function then the value of k is ……. .

A

`(1)/(3)`

B

`(1)/(6)`

C

`(1)/(9)`

D

`(1)/(12)`

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