### cameroon gce A level June 2023 pure maths with statistics 1

cameroon gce A level June 2023 pure maths with statistics 1

A sample of size 8 drawn from a population gives

rise to

47.

I*= 391,I*2 = 19159.

Using this sample, the unbiased estimate of the

population variance is A 5

8

A population has mean 15 and standard deviation

2.3. A random sample of size 81 is taken from the

population and its mean is found to be 15.4. A

hypothesis test is to be conducted to verify if the

mean has changed. The value of the test statistic

for this test is

A -1.645

B -1.565

C 1.565

D 1.645

44.

B 3

4

C 3

8

D 1

4

A random variable X ~ P0(A).

If 49P(X = 0) = 8P(X = 2), the value of the

parameter A is

A 12.25

B 3.50

C 3.00

D 1.75

48.

For ten pairs of values (x, y),

x = 13, y = 7.08, Si = 1.246 , S* = 1.611

and Sxy = 1.389

The product moment correlation coefficient is

A 0.98

B 0.69

C 0.89

D 0.83

45.

For two events A and B,

The P(Avalue ) = i.of , PP(P(A) n=|B), Pis(P /A) =^ .

A 3

49.

A continuous random variable X has probability

density function f given by

3

f(x) = —x(4- x), 2 x 4

46. 50

B 1

50

16 C 3

The mode of X is

A 2.4

B 2.2

C 2.5

D 2.0

25

D 9

10

A discrete random variable X ~ B(100, 0.2).

Using the normal approximation, P( X > 30) is

equivalent to

A P(Z > 1.88)

B P(Z > 2.52)

C P(Z > 1.86)

D P(Z > 2.50)

50.

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