3. A pharmaceutic al company conducted a study to evaluate the effectiveness of

Question

3. A pharmaceutic al company conducted a study to evaluate the effectiveness of a cancer treatment medicine. 400 patients were treated with the actual medicine. Another 600 patients received a placebo. 200 patients that received the treatment saw their tumors shrink.85 patients that receiv the placebo saw their tumors shrink. ed a. What is the probability that a tumor shrank? b. What is the probability that a tumor shrank, given a patient received the medicine? c. What is the probability that a tumor shrank, given a patient received the placebo?

Explanation / Answer

3-a- Here event is number of people whose tumor shrank=200+85=285 and possible outcome=400+600=1000

Probability= 285/1000=0.285

b- Event= 200 and possible outcome=400, Probability= 200/400=0.50

c-Event=85 and possible outcome=600, Probability=85/600=0.1417

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