# cameroon gce A level June 2024 pure mathematics with statistics 1

### cameroon gce A level June 2024 pure mathematics with statistics 1

cameroon gce A level June 2024 pure mathematics with statistics 1

SECTION B: STATISTICS
A continuous random variable X has probabilit>
density function , f , defined by
k(x+ 3), — 3 x 3
0, otherwise.
The value of the constant k is
A 1
file mean of the scores of 10 students in a
physics evaluation is 54 and the mean of the
score of 40 different students in a mathematics
evaluation is 60.The combined mean of the
scores of the two subjects is
A 55.2
B 58.8
C 57.5
D 57.0
36. 41.
f(*) = {
18
B 2
27
C 1
If two events A and B are independent, then, 9
A P(A n B ) = 0
B P( A ) = P(B)
C P( A U B ) = 1
D P( A n B ) = P( A)P( B’)
37.
D 1
27
A random variable X is normally distributed
with mean 23 and variance 9. P( X > 20) =
A (—1)
• B 0(1)
42.
Consider the data below :
24, 19 , 20, 12, 3,14, 8, 9, 6, 5, 3
The upper quartile for the data is
A 24
B 19
C 9
D 5
38.
c 0H)
43. – A random sample of size 25 is draw n from a
population w’ith mean /r and variance lOO.lf the
sample mean is 765, then the 95% confidence
interval for the population mean is
A 765 ± 1.96
B 765 ± 3.92
C 765 ± 1.645
D 765 ± 3.29
A random variable X is such that
X ~ B{ 33 , 0.4). Var( 2X -1) =
A 30.68
B 15.84
C 31.68
D 14.84
39.
The number of calls received by a certain police
station on a certain day is a random variable
with a Poisson distribution, having a mean of 5
calls per hour. The probability that the police
station will received 10 calls per hour is
A 510
e b ——
40.
The data for 10 pairs of values of x and y are as
follows : £ x = 30 ,£ y = 20, and £ xy = 90 .
The covariance of x and y, Cov(xy) =
A 15
B 4.5
C 3
D 6
44.
10!
B 105
-l
e
5! The geometric mean of 70 ,75, 80, 85, 90 is
A 79.69
B 7969
C 56.683
D 56683
45.
-t 5l°
6
5!
D 105

C
10!

Two events /1 and l) are such that: 49.
P( A) = –
A
,P(B) = 2 and (4 nfl) = J.
P(B/i4′) =
A 4
46.
A
13 26
C 34
D 19
15
13 4
5
C 1
For four pairs of rankings,£ d 2 = 2 .The
Spearman’s coefficient of rank correlation is
A 4
12 50.
D 1
8
5
A true null hypothesis is rejected when it should B 19
have been accepted at a 2% level of
significance.
This is a
A type I error.
B type II error.
C 2% level of error.
D random error.
47.
30
C 1
2
D 1
5
A discrete random variable X has the following
probability distribution
48.
x 0 2
P( X = x) 1 6 1
8 8 8
STOP
E(2X + 5) =
A 10
B 2
C 6
D 7
GO BACK AND CHECK YOUR WORK