Scheme (Merged) Friday 16 May 2025 [VERIFIED]
, 2
Do not write
outside the
box
There are no questions printed on this page
DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED
G/Jun25/7366/2S
, 3
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The continuous random variable A has probability density function f (a)
and variance 16
It is given that f (a) = 0 for a < 0 and ∫ 0
a2f (a)da = 52
Find the mean of A
Circle your answer.
[1 mark]
4 6 36 68
2 The random variable X ~ Po(6.50)
The random variable Y ~ Po(20.54)
The random variables X and Y are independent.
Find the standard deviation of X + Y
Circle your answer.
[1 mark]
3.75 5.20 14.04 27.04
Turn over for the next question
Turn over U
G/Jun25/7366/2S
, 4
Do not write
outside the
box
3 The random variable T has a discrete uniform distribution and takes
values 1, 2, 3, …, 17
Find the standard deviation of T
Circle your answer.
[1 mark]
8√ 3 1
2√ 6 21 24
3 3
G/Jun25/7366/2S