The discrete random variable `X` has the probability mass function

`text(Pr)(X = x) = {(kx), (k), (0):} qquad {:(x∈{1, 4, 6}), (x = 3), (text(otherwise)):}`

- Show that `k = (1)/(12)`. (2 marks)
- Find `text(E)(X)`. (1 mark)
- Evaluate `text(Pr)(X ≥ 3 | X ≥ 2)`. (1 mark)