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",","if","otherwise"):}`
(a) Determine the value of k.
(b) Find `P(X lt 2),P(X le2),P(X ge2)`

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