Question 105752: 9. A box contains four defective and six good electronic sensors. If five sensors are drawn, with replacement,
find the probability of drawing
(a) at most one defective
(b) at least one defective
(c) fewer than three defective
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A box contains four defective and six good electronic sensors. If five sensors are drawn, with replacement,
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P(defective)= 0.4 ; P(good)=0.6
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find the probability of drawing
(a) at most one defective
P(at most one defective) = P(none defective)+ P(one defective) =(0.6^5)+
5C1[0.4^1*0.6^4] = 0.07776 + 0.2592 = 0.33696
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(b) at least one defective
P(at least one defective) = 1 - P(none defective) = 1 - (0.6^5 = 0.922
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(c) fewer than three defective
P(fewer than three defective = P(none defective)+P(one defective)+P(2 defective)
= 0.33696 + P(2 defective)
=0.33696 + 5C2[0.4^2*0.6^3]
= 0.33696 + 0.3456 = 0,68256
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Cheers,
Stan H.
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