The random variable X has a probability distribution P(X) of the following form, where k is some number:
(P(X) = \begin{cases}
k, \; if\; x = 0\
2k, \; if\; x = 1 \
3k, \; if\; x = 2\
0, \; otherwise
\end{cases})
(a) Determine the value of k
(b) Find P (X < 2), P (X ≤ 2), P (X ≥ 2)
