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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 k. (b) Find P `( X lt 2)` , P `( X le 2)` , P` (X ge 2 )`

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