SOLUTION: A manufacturing machine has a 5% defect rate. If 5 items are chosen at random, what is the probability that at least one will have a defect?

Question 1145730: A manufacturing machine has a 5% defect rate.
If 5 items are chosen at random, what is the probability that at least one will have a defect?
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.


The probability that NO ONE item of 5 has a defect is  P(X=0) =  = .


The probability that at least one item of 5 has a defect is the COMPLEMENT to it


    P( X >= 1) = 1 -  = 0.226219.     ANSWER

RELATED QUESTIONS
A manufacturing machine has a 1% defect rate. If 4 items are chosen at random, what is (answered by ewatrrr)

A manufacturing machine has a 2% defect rate. If 10 items are chosen at random, what... (answered by ewatrrr)

a manufacturing machine has a 9% defect rate. if 3 items are chosen at random what is the (answered by Fombitz)

A manufacturing machine has a 8% defect rate. If 10 items are chosen at random, what... (answered by Fombitz)

A manufacturing machine has a 1% defect rate. If 9 items are chosen at random, what is (answered by ikleyn)

5. (a) A production process comprises of two separate processes, moulding and assembly.... (answered by stanbon)

It is known that 10% of the items produced by a certain machine are defective. Find the... (answered by mathmate)

If 10 samples (items) are chosen from a population with defect rate = 0.3, what is the... (answered by jim_thompson5910)

7.Ten percent of the items produced by a machine are defective. Out of 15 items chosen at (answered by stanbon)