cameroon gce A level June 2023 pure maths with statistics 1

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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