cameroon gce advanced level June 2022 pure maths with statistics 1

cameroon gce advanced level June 2022 pure maths with statistics 1

cameroon gce advanced level June 2022 pure maths with statistics 1

SECTION B: STATISTICS
40. Accidents occurring at a particular road junction
happen randomly at an average rate of 2 per
week. The probability that exactly 2 accidents
will occur at this junction within a period of two
weeks is

36. Events A and B arc such that P(A) =

and P( A UB) = i. What is the
probability that both A and B will occur?

41. The frequency distribution of a data set is as
shown below.

The mean of these data is
A 5.24 1
BB 5.42
C 5.200
D ‘ 5.40 )
37. A discrete random variable X has probability
mass function f, where f(x) = k ( x – 1) for
x — 2, 3, 4 and f(x) = 0 otherwise. The value of
constant k is – s

B 1! 42. A cooking gas bottling company claims that each
bottle contains averagely 12.5 kg of gas.
Following complaints from the consumers of this
product that they are being cheated, a hypothesis
test is to be conducted to verify the claim. The
null hypothesis H 0 and the alternative hypothesis
Hj for this test are

38. The probability density function f, of a continuous i
variable X is given by f(x) = — 2) for i
3 < x < 4 and f(x) = 0 for x < 3 and x > 4.
The mean of this distribution is
AA 34
A
!S
43.5 If the regression lines of y on x and x on y are
y.*= 0.72- 0.49A:and x = 0.65- 0.25y v
respectively, then the product moment correlation
coefficient between x and y is

39. A random variable has a binomial probability
distribution with mean 2 and variance 1.6.’ The
values of the parameters n and p are
A lO and 0:8^
B! 8 and 012-
C 8 !and’0:8 i
I) 10 and 0121’
44. Four competitors were ranked by two juries as
shown beiow;> * . . .
is

The Spearman’s rank correlation coefficient i
between the juries is