SOLUTION: A factory produces parts of a machine.One out of every ten parts produced by the factory is found to be defective. In a sample of 6 such parts, calculate the probability that (a

Algebra ->  Statistics  -> Binomial-probability -> SOLUTION: A factory produces parts of a machine.One out of every ten parts produced by the factory is found to be defective. In a sample of 6 such parts, calculate the probability that (a      Log On


   

Question 1124584: A factory produces parts of a machine.One out of every ten parts produced by the factory is found to be defective. In a sample of 6 such parts, calculate the probability that
(a) exactly 3 will be defective
(b) at most 3 will be defective
(c) more than 3 will be defective
(d) at least 1 will be defective.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%28X%29=C%286%2CX%29%2A%280.1%29%5EX%2A%281-0.1%29%5E%286-X%29
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a) P%28X=3%29=0.0146
b) P%28X%3C=3%29=P%280%29%2BP%281%29%2BP%282%29%2BP%283%29=0.9987
c) P%28X%3E3%29=P%284%29%2BP%285%29%2BP%286%29=0.00127
d) Use the complement,
P%28X%3E=1%29=1-P%280%29=0.469