The odds that an inspector correctly identifies a damaged sample in a textile factory are estimated...
The odds that an inspector correctly identifies a damaged sample in a textile factory are estimated to be 95%. The odds that a sample is incorrectly identified as damaged is 2%. Moreover the percentage of damaged samples produced by this factory is 1%.
a) What is the probability that a sample selected for inspection is identified as damaged?
b) If a sample chosen randomly is identified as damaged, what is the probability that the sample is actually NOT damaged?
Homework Answers
a) probability that a sample selected for inspection
is identified as damage = P(correct identification and
damage) + P(incorrect identification and undamage) = 0.01*0.95 +
0.02*(1-0.01)= 0.0293 or 2.93%
b)
P(actually not damage | identified as damage) = 0.02*(1-0.01)/0.0293 = 0.6758 or 67.58%
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The odds that an inspector correctly identifies a damaged sample
in a textile factory are estimated...
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