SOLUTION: A computer finds that 14% of the computers they manufacture are defective. What are the chances that 11 computers out of a 100 computer shipment do not work? What are the chan

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Question 865884: A computer finds that 14% of the computers they manufacture are defective. What are the chances that 11 computers out of a 100 computer shipment do not work?
What are the chances that four or more computers out of a 15 computer shipment do not work?

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

Hi
p(def) = .14, n = 100
P(x = 11) = binompdf(100, .14, 11) = .0849 0r 8.49%
p(def) = .14, n = 15
P(x = 4) = binompdf(15, .14, 4) = .0998 0r 9.98%
Or for singular probability:
Using P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+
p and q are the probabilities of success and failure respectively.
In this case p= .14 and q = .86
nCx+=+%28n%21%29%2Fx%21%28n+-+x%29%21%29