P4. A medical research group is investigating the effectiveness of three tests for a certain disease, T, ,T2, and T3. When 300 people with the disease were given the test, it was found that: 54 reacted to all threetests 147 reacted to T1 128 reacted to T 182 reacted to T3 69 reacted to T1 and T2 89 reacted to T1 and T3 75 reacted to T, and T3 (a) How many people reacted to T1 and T2 but not to T3? (b) How many peoplereacted to none of the test?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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P4. A medical research group is investigating the effectiveness of three tests for a certain disease,
T1,T2, and T3. When 300 people with the disease were given the test, it was found that:
54 reacted to all threetests
147 reacted to T1
128 reacted to T
182 reacted to T3
69 reacted to T, and T2
89 reacted to T1 and T3
75 reacted to T2 and T3
(a) How many people reacted to T, and T, butnot to T3?
(b) How many peoplereacted to none ofthetest?
Transcribed Image Text:P4. A medical research group is investigating the effectiveness of three tests for a certain disease, T1,T2, and T3. When 300 people with the disease were given the test, it was found that: 54 reacted to all threetests 147 reacted to T1 128 reacted to T 182 reacted to T3 69 reacted to T, and T2 89 reacted to T1 and T3 75 reacted to T2 and T3 (a) How many people reacted to T, and T, butnot to T3? (b) How many peoplereacted to none ofthetest?
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