CO 3) Consider the table below.
Production location Correct Defective Total
East 258 31 289
West 572 106 678
North 755 94 849
South 491 74 565
Total 2076 305 2381
Find the probability that a randomly selected product is from the North, given that it is correct.
87.2 %
36.4%
12.1%
88.9%
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Since the problem says "given that it is correct", you can focus your attention on the column "CORRECT"
and forget about other data.
It means that you reduce the space and the info for this set of data, ONLY.
So, from the Table, take the number in column "CORRECT", related to the North location,
and divide it by the TOTAL in column "CORRECT".
For clarity, P(the product is from North location, given that it is correct) =
.
Now use your calculator.
Solved.
This probability is called "conditional probability".