SOLUTION: The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of twelve syringes taken from the

Question 1157265: The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of twelve syringes taken from the batch. Suppose the batch contains 1% defective syringes.
(c) What is the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.)

(d) Find σ (in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.)
σ = ___ syringes
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Accept if 0 or 1 syringes are defective
probability 0 are defective is 0.99^12=0.8864
probability 1 is defective is 12*0.01*0.99^11=0.1074
The sum is 0.9938 or 0.994 probably of being accepted
np is mean or 12*0.01=0.12 syringes
variance is np(1-p) or .12*.99=.1188
sd is sqrt(V)=0.347 syringes ANSWER
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