SOLUTION: A machine that manufactures automobile parts is estimated to produce defective parts 6% of the time. If this estimate is correct, and 8 parts produced by this machine are randomly

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Question 364644: A machine that manufactures automobile parts is estimated to produce defective parts 6% of the time. If this estimate is correct, and 8 parts produced by this machine are randomly selected, what is the probability that at least 2 turn out to be defective? Round your answer to four decimal places.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Note: The probability of x successes in n trials is:
.
P = nCx* * where p and q are the probabilities of success and failure respectively.
In this case p = .06 and q = .94
nCx =
P(at least 2 turn out to be defective)
1 - P(0 def) - P(1 defect)
P(0 def) = .94^8 = .610
P(1 defect) = 8C1*.06^1 .94^7 = 8*.06^1 .94^7 = 8*.06*.648 = .311
1 - .921 = .079
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