SOLUTION: A shipment of 8 computers contains 3 with defects. Find the probability that with a sample of the given size, drawn from the 8, will not contain a defective computer. (a) 1 (b)

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Question 470658: A shipment of 8 computers contains 3 with defects. Find the probability that with a sample of the given size, drawn from the 8, will not contain a defective computer.
(a) 1
(b) 2
(c) 3
(d) 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(defective) = 3/8 = 3.75 & q = 5/8 = 6.25
nCx = n%21%2F%28x%21%28n-x%29%21%29
(a)n= 1 P(no defective) = (5/8)^1 = 5/8
(b)n= 2 P(no defective) = (5/8)^2
(c)n= 3 P(no defective) = (5/8)^3
(d)n= 5 P(no defective) = (5/8)^5
Calculator will make short work of completing the work