The Human Resource Manager of Malutu Enterprises is concerned about the low productivity of the employees. The contributor to the low productivity seems to be a low level of motivation among 5000 employees. To establish the motivation level in each department, the Human Resource Manager plans to select 120 employees from different departments. Based on the results, the HR Manager concluded that employees of Malutu have low morale primarily due to low salaries.

1. Based on the scenario, explain why the Human Resource Manager planned to select 120 employees? [5 marks]
2. Explain the basis on which the HR Manager concluded that the employees of Malutu have low morale. [3 marks]

Question Two

The table below presents the number of employees in Malapa (Pty) Ltd:

Position	Gender		Total
	Male	Female
Management	18	10	28
Non-Management	42	30	72
Total	60	40	100

Based on the above information,

1. What is the probability of randomly selecting a management employee? [3 marks]
2. What is the probability of randomly selecting a non-management employee? [3 marks]
3. What is the probability that a randomly selected employee holds a management position given that he is a male? [4 marks]
4. What is the probability of randomly selecting a management employee or a female employee? [4 marks]

Question Three

Modiri owns Bontle Jewelers and must fly to various countries to meet with customers. The number of kilometers traveled per year is normally distributed with a mean of 700 000 kilometers and a standard deviation of 100 000 kilometers. Based on the scenario,

1. What percentage of the planes is expected to travel between 450 000 and 700 000? 
2. What proportion of the planes is expected to travel between 350 000 and 600 000?

Find the distance in kilometers traveled by 70% of the planes.

Answer rating: 100% (QA)

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