The new cold medication was tested by giving 100 people the drug and 100 people a placebo. A control group consisted of 100 people who were given no treatment. The number of people  in each group who showed improvement is shown in the table below.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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  1. The new cold medication was tested by giving 100 people the drug and 100 people a placebo. A control group consisted of 100 people who were given no treatment.

The number of people  in each group who showed improvement is shown in the table below.

 

   

 

Cold drug

Placebo

Control

Total

Improvement

70

55

20

145

No improvement

30

45

80

155

Total

100

100

100

300

 

  1. What is the probability that a randomly selected person in the study either was given the placebo or was in the control group?
  2. What is the probability that a randomly selected person improved?
  3. What is the probability that a randomly selected person was given the drug and improved?
  4. What is the probability that a randomly selected person who improved was given the drug?
  5. What is the probability that a randomly selected person who was given the drug improved?

 

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