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The random variable X has a probability ...

The random variable X has a probability distribution P(X) of the following form, where k is some number : `P(x)={(k,,`if,,`x=0),(2k,,`if,,`x=1),(3k,,`if,,`x=2),(0,,,,):}` Determine the value of k.

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The correct Answer is:
`(1)/(6)`
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