SOLUTION: 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 Fin

Algebra ->  Probability-and-statistics -> SOLUTION: 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 Fin      Log On


   



Question 1196216: 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%

Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
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)  = 755%2F2076.


Now use your calculator.

Solved.

This probability is called "conditional probability".