Zadanie 7b
Given an alert, find the probability that the component is defective.
Combine prior probabilities with conditional evidence to calculate posterior probabilities for up to three alternatives.
Tę umiejętność sprawdza 5 zadań wzorowanych na arkuszach IB z lat 2022–2026.
Given an alert, find the probability that the component is defective.
B and C have error probabilities 0.04 and 0.12. Of all images, 50% go to A, 30% to B and 20% to C. For an image selected at random, find (i) the probability of an error; (ii) the probability it was processed by A, given an error.
Estimate p.
A piece is selected from the combined output. (i) Find the probability its thickness is below 117 μm. (ii) Given that its thickness is below 117 μm, find the probability it came from line A.
Line A is adjusted: its mean stays 120 μm but its standard deviation becomes σ>0. Line B and the output proportions are unchanged. The combined probability of thickness below 117 μm is now 0.18. Find σ.
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