being awarded 0% and being prevented from writing examinations.
Where applicable, you MUST answer all the questions in your own words.
For additional information please refer to B12 and B16 of the Student Support Manual.
We recommend that you read the book, “How to answer an assignment” to understand what it
means to define, analyse etc.

Page
3
of
9
Question 1
[25 Marks]
The age of soccer supporters is normally distributed with a mean of 50 years and a
standard deviation of 12 years.
a. What is the probability that the age of a soccer supporter is less than 50?
(6)
b. What is the probability that the age of a soccer supporter is 55 and 58?
(8)
c.
What is the probability that the age of a soccer supporter is more than 56?
(6)
d. What are the properties of normal distribution
(5)
Question 2
[25 Marks]
The following table depicts the attendance of learners at tennis practices for the
week at a certain school.
Study the table and answer the questions that follow.
Learners
at tennis
practice
Monday Tuesday Wednesday Thursday
Friday
Number
of boys
9
7
6
5
7
Number
of girls
5
5
8
9
5
Total
14
12
14
14
12
2.1.1 What is the mean of the number of boys who attended tennis practice for the
week?
(6)
2.1.2 What is the modal value for the number of boys who attended tennis practice
for the week?
(5)
2.1.3 What is the mean number of learners who attended tennis practice for the
week?
(6)
2.1.4 What is the median value of the girls who attended tennis practice for the
week?
(4)