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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,","," x=2 "),(0,",","otherwise"):}`
a. Determine the value of k
b. Find `P(X lt 2), IP(X le 2), P(X gt 2)`.

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The correct Answer is:
a. `(1)/(6)` , b. `(1)/(2)`
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