SOLUTION: A quality control inspector has drawn a sample of 11 light bulbs from a recent production lot. If the number of defective bulbs is 2 or more, the lot fails inspection. Suppose 2

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Question 1041216: A quality control inspector has drawn a sample of
11 light bulbs from a recent production lot. If the number of defective bulbs is
2 or more, the lot fails inspection. Suppose
20% of the bulbs in the lot are defective. What is the probability that the lot will fail inspection? Round your answer to four decimal places.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Find the probability the lot will pass inspection and subtract this from 1 as it is a dichotomous (2 answer only) question.
probability none is defective is .8^11=0.0859
probability one is defective is 11 ways *.2^1*.8^10=0.2147
Those pass, anything else fails.
The probability of passing is 0.3006
The probability of failing (answer) is 0.6994.