HELP Binomial Distribution

thomasj2608

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Jul 23, 2014
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I am really confused with this question

Can Someone help me please, it would be massive help

This is the question:

A particular type of electronic component for use in PCs is mass produced and subject to quality control checks since it is known that 5% of all components produced in this way are defective. The quality of a day's output is monitored as follows. A sample of 20 components is drawn from the day's output (which may be assumed to be large) and inspected for defective components. If this sample contains 0 or 1 defectives the day's output is accepted, otherwise it is rejected. If it contains more than 2 defectives the output is rejected. If the sample contains 2 defective a second sample of 15 is taken. If this sample contains 0 defectives the output is accepted, otherwise it is rejected.

Use the binomial distribution to calculate the probability of

(i) 0
(ii) 1
(iii) 2
 
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