SOLUTION: . If 10% of all disk drives produced on an assembly line are defective, what is the probability there will be exactly one defect in a random sample of 5 of these? What is the prob

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Question 404974: . If 10% of all disk drives produced on an assembly line are defective, what is the probability there will be exactly one defect in a random sample of 5 of these? What is the probability that there will be no defects in a random sample of 5?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Note: The probability of x successes in n trials is: 

P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively. 

In this case p= .10 & q = .90

nCx = n%21%2F%28x%21%28n-x%21%29%29

P(exactly one defect in a random sample of 5 ) = 5(.10)^1(.90)^4 = .3281

P(no defects in a random sample of 5)= 1(.90)^5 = .5905