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About 1 out of 1,000 items made on a production line is defective. There is a test to check
whether the item is defective. The test is quite accurate. In particular, we know that the
probability that the test result is positive (suggesting the item is defective), given that the item
is not defective, is only 2 percent, and the probability that the test result is negative (suggesting
the item is not defective), given that the item is actually defective, is only 1 percent. A random
item gets tested for defect and the result comes back positive. What is the probability that
the item is defective?


What I have tried:

#D = Product is Defective
#ND=Product is Not Defective
#P = Result is Postive
#NP = Resul is Negative



D=0.01
P=0.02

# Prob(P, given = D)
# Prob(D, given = P)

prior = c(0.01,0.02)
like = c(0.99,20.9)
Posted
Updated 9-Oct-20 10:45am
Comments
Patrice T 9-Oct-20 17:45pm    
and you have a question ?

1 solution

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