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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,"otherwise"):}`
(a) Determine the value of K.
(b) Find `P(X lt 2)`.

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