(Answered) In order to evaluate the rate of error experienced in

Statistics

In order to evaluate the rate of error experienced in reading chest x-rays, the following experiment is done. Several people with known tuberculosis (TB) status (through other reliable tests) are subjected to chest x-rays. A technician who is unaware of this status reads the x-ray, and Table gives the result. Here +x-ray means the technician concluded that the person has TB.

Table
	Person without TB	Person with TB	Total
+X-ray	70	27	97
-X-ray	1883	20	1903
Total	1945	55	2000

Find (a) P(TB|+ X - ray), (b) P(+X - ray|No TB), and (c) P(No TB|- X - ray).

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