The random variable X has a probability distribution P(X) of the following form, where k is some number:
P(X)={
k,ifx=0
2k,ifx=1
3k,ifx=2
0,otherwise
(a) Determine the value of k
(b) Find P (X < 2), P (X ≤ 2), P (X ≥ 2)
Select the correct answer from above options