Question 1174191: A product estimate that 3% of his output of a small items is defective.find the probabilities that in a sample of 10 item
a).less than two
b). More than two items will be defective
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Fewer than 2 is 0 or 1
p(0) defective is 0.97^10=0.7374
p(1) defective is 10*0.97^9*0.03=0.2281
the answer is the sum of the probabilities or 0.9655
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more than 2 items will be defective is 1- probability p(0,1,2)
calculator is 1-binomcdf(10,0.03,2)=0,0028. The 1- comes from the fact that the binomial function computes from the left side, and we want the right side for the answer.
p(2)=45*0.97^8*0.03^2=0.0317
add that to the first answer to get 0.9972, probability 0,1,2 items are defective.
The answer is 1-0.9972 or 0.0028
binompdf is a good one to remember, because that will give you the specific value, since remembering the top value to use for the interval can sometimes be confusing.
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