Quantitative Methods – Probability Questions
1. The table below gives the qualification profile of the
managers of a certain company:
QUALIFICATION SECTION HEAD DEPARTMENT HEAD DIVISION HEAD
MATRIC 26 12 10
DIPLOMA 18 20 6
DEGREE 6 8 14
What is the probability that a person selected randomly:
(show all work)
1.1 Has only matric?
1.2 Is a section head and has matric?
1.3 Is a department head given that the person has a
diploma?
1.4 Has a diploma given that the person is a division head?
2. Based on past experience, 10% of the accounts of a large
wholesale company are incorrect. If a random sample of 8 accounts is selected,
what is the probability that at least two accounts are correct. (show all work)
3. The average number of claims per hour made to an
insurance company is 1.2.
3.1 What is the probability that in a given hour no fewer
than two claims are made? (show all work)
3.2 What is the probability that exactly three claims are
made in 30 minutes? (show all work)
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