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Q2. An automatic bottle filling machine is supposed to fill 600ml liquid to each bottle. While...

Q2. An automatic bottle filling machine is supposed to fill 600ml liquid to each bottle. While if the deviation of actual filling volume is more than 5ml from 600ml, it will be assumed to be defective product, and need to be discarded or re-fill. Assume the defective rate of the machine is 10%. Three filled bottles are randomly selected for inspection.
(3) What is the probability that all three bottles are not defective?
(3) What is the probability that only one bottle is defective (the other two are not defective)?
(4) Suppose at least one of the bottle is defective. What is the probability that all three are defective?

Math   Statistics-And-Probability   
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Answer #1

1.What is the probability that all three bottles are not defective?

Here the probability of a bottle is non defective is p=0.9.  

2. What is the probability that only one bottle is defective (the other two are not defective)?.

Here, the p=0.10 and (1-p)=0.9. We need to find out

3. Suppose at least one of the bottle is defective. What is the probability that all three are defective?

Here p=0.1 and

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