Question
The random variable X has probability distribution P(X) of the following rm, where k is some number:

(a) Determine the value of k.
(b) Find P(X < 2), P(X ≤ 2), P(X ≥ 2).
Solution
The probability distribution of X is
X |
0 |
1 |
2 |
P(X) |
k |
2k |
3k |
(a) We know that



(b)



