QUESTION 4
(a) A company employs 12 male and 20 female workers in the manufacturing sector.
Among the male workers: 7 are from the Assembly Department, 2 are from the
Quality Control Department, and 3 are from the Logistics Department. As for the
female workers: 15 are from the Assembly Department, 3 are from the Quality
Control Department, and 2 are from the Logistics Department. A worker is
selected at random. Find the probability that:
i) ii) The worker is a male
The worker is from the Assembly Department
iii) The worker is a female from the Logistics Department
iv) The worker is from the Quality Control Department, given that the worker
is male
(12 marks)
(b)
i) ii) Draw the probability tree to find the sample space for the gender of three children
in a family.
(4 marks)
From the probability tree in b(i), what is the probability of getting at least one
boy.
(4 marks)
(c) Given that P(A) = 0.59, P(B) =0.46 and P(A?B) = 0.28, determine;
i) P(A’?B) iv) P(A’?B’)
ii) P(AUB) v) P(A|B’)
iii) P(A?B’) vi) P(B’|A’)
