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Paper 3 · Statistics
4.1 Statistical distributions
Question 1 · 5 marks
Calculator allowed
Spec and skills
Paper scope: Paper 3 Statistics
Spec S4.1
Original practice question
The discrete random variable
X
X
X
has probability distribution
P
(
X
=
x
)
=
k
(
x
+
1
)
P(X = x) = k(x + 1)
P
(
X
=
x
)
=
k
(
x
+
1
)
for
x
=
0
,
1
,
2
,
3
x = 0, 1, 2, 3
x
=
0
,
1
,
2
,
3
,
where
k
k
k
is a constant.
(a)
Find the value of
k
k
k
.
2 marks