IOP2601/Ass 02/Sem 1 2023
ASSESSMENT 02
Closing date: Tuesday, 18 April 2023 @ 23:00
Total: 50 marks
Study material: Lessons 7 to 10
Use computational formulas where applicable and round off the final answer to two
decimals. (Values read from tables must be given unaltered).
QUESTION 1 [11]
Thabo and his friend Sipho entered a lucky draw and can win a laptop as the first prize and a
cellphone as the second prize, from Unisa. Thabo sent through 60 entry forms, while Sipho
sent through 40. The report from the competition administrators is that 200 entries qualified,
and both Thabo and Sipho qualified.
Use this information to answer the following questions:
1.1 What is the probability that Thabo will win first prize? (2)
1.2 What is the possibility that Sipho will win first prize? (2)
1.3 If Thabo wins first prize, what is the probability that Sipho will win second prize? (The
first prize-winning entry is not put back in the container.) (2)
1.4 Sipho wins first prize, what is the probability that Thabo will win second prize? (The
first prize-winning entry is not put back in the container.) (2)
1.5 What is the probability that Thabo and Sipho will win first and second prize? (3)
QUESTION 2 [20]
A study conducted by an American researcher showed that in most companies, employees
who work from home perform better than those that work in the office. A researcher in your
company wanted to test the validity of this study in an African context by firstly assessing the
relationship between working from home (X) and performance (Y), and she found the
following:
ASSESSMENT 02
Closing date: Tuesday, 18 April 2023 @ 23:00
Total: 50 marks
Study material: Lessons 7 to 10
Use computational formulas where applicable and round off the final answer to two
decimals. (Values read from tables must be given unaltered).
QUESTION 1 [11]
Thabo and his friend Sipho entered a lucky draw and can win a laptop as the first prize and a
cellphone as the second prize, from Unisa. Thabo sent through 60 entry forms, while Sipho
sent through 40. The report from the competition administrators is that 200 entries qualified,
and both Thabo and Sipho qualified.
Use this information to answer the following questions:
1.1 What is the probability that Thabo will win first prize? (2)
1.2 What is the possibility that Sipho will win first prize? (2)
1.3 If Thabo wins first prize, what is the probability that Sipho will win second prize? (The
first prize-winning entry is not put back in the container.) (2)
1.4 Sipho wins first prize, what is the probability that Thabo will win second prize? (The
first prize-winning entry is not put back in the container.) (2)
1.5 What is the probability that Thabo and Sipho will win first and second prize? (3)
QUESTION 2 [20]
A study conducted by an American researcher showed that in most companies, employees
who work from home perform better than those that work in the office. A researcher in your
company wanted to test the validity of this study in an African context by firstly assessing the
relationship between working from home (X) and performance (Y), and she found the
following:
