The random variable X has a probability distribution P(X) of the following form,
where k is some number :
P(X) =
,
0
2 ,
1
3 ,
2
0, otherwise
k
if x
k if x
k if x
=
⎪⎧
=
⎪⎨
=
⎪
⎪⎩
(a)
Determine the value of k (b)
Find P (X < 2),  P (X ≤ 2), P(X ≥ 2) 10 Find the mean number of heads in three tosses of a fair coin