A random variable w has the probability distribution shown below,
0 1 2 3
P(W=w) 0.25q 0.33 q 0.12

Correct to 2 decimal places, compute the value of:
a) The constant q =
b) P(0 ≤ x ≤ 2) =
c) P(0 < x < 3) =
d) P(x > 1) =
e) E(w) =
f) Var(w) =

Given that Y = 12W +3, find:
g) E (Y) =
h) Var(Y) =​