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There are 5000 commercial outlets of an engineering product. These outlets are supplied with a product from 5 manufacturing units as follows: 2000 by Unit-A; 250 by Unit-B; 1000 by Unit-C; 250 by Unit-D and 1500 by Unit-E.
(i) What is the expected average number of commercial outlets supplied by manufacturing units?
(ii) Probabilistically, how many commercial outlets are supplied by Unit A in excess of the expected average number of commercial units?
(iii) If a commercial outlet is selected at random, what is the prior probability that this outlet is not supplied by Unit-A?
(iv) What is the probability that a randomly selected outlet is supplied by Unit-C?
(v) If a randomly selected outlet is supplied by Unit-E, what is the probability that a second outlet selected is also supplied by the Unit-E?
[Answer hint: (iii) p = 3/5]
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