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3. A new cold medication was tested by giving 125 people the drug and 100 people a placebo. A control group consisted of 115 people

3. A new cold medication was tested by giving 125 people the drug and 100 people a placebo. A control group consisted of 115 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

72

55

38

165

No Improvement

53

45

77

175

Total

125

100

115

340

a) What is the probability that a randomly selected person in the study either was given the placebo or was in the control group?____________

b) What is the probability that a randomly selected person either was given the drug or improved? _____________

c) What is the probability that a randomly selected person was given the drug and improved? ______________

d) What is the probability that a randomly selected person who improved was given the drug? ________

e) What is the probability that a randomly selected person who was given the drug improved? ________

f) Based on these data, does the drug appear to be effective? ____________

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