Q86 A subassembly is made up of three components A, B, and C. A large batch of these units are supplied to the production site and the proportion of defective units in these is 5% of the component A, 10% of the component B, and 4% of the component C. [5 Marks]
(a) What proportion of the finished subassemblies will contain no defective components?
(b) What proportion of the finished subassemblies will contain exactly one defective component?
(c) What proportion of the finished subassemblies will contain at least one defective component?
(d) What proportion of the finished subassemblies will contain more than one defective component?
(e) What proportion of the finish?
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Probability of defectives= 0.05+0.1+0.04= 0.19
Probability of non-defectives= 1-0.19= 0.81
By using binomial probability distribution formula the following would be calculated as followed:
a)Contains no defective
b) exactly one defective
c) atleast one defective
d) more than 1 defectives
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