A study was done to determine the efficacy of three different drugs— A , B , and C —in relieving headache pain. Over the period covered by the study, 50 subjects were given the chance to use all three...

A study was done to determine the efficacy of three different drugs—A,B, andC—in relieving headache pain. Over the period covered by the study, 50 subjects were given the chance to use all three drugs. The following results were obtained.

20 reported relief from drugA

20 reported relief from drugB

30 reported relief from drugC

8 reported relief from both drugsA andB

13 reported relief from both drugsA andC

14 reported relief from both drugsB andC

42 reported relief from at least one of the drugs

Note that some of the 20 subjects who reported relief from drugA may also have reported relief from drugsB orC. A similar occurrence may be true for the other data.

(a) How many people got relief from none of the drugs?

(b) How many people got relief from all three drugs?

(c) Let
A be the set of all subjects who got relief from drugA,B the set of all subjects who got relief from drugB, andC the set of all subjects who got relief from drugC. Fill in the numbers for all eight regions of the following diagram.

(d) How many subjects got relief from drug
A only?

Extracted text: Sample of Students B.

Jun 05, 2022

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A study was done to determine the efficacy of three different drugs— A , B , and C —in relieving headache pain. Over the period covered by the study, 50 subjects were given the chance to use all three...

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