### 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

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