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In: Statistics and Probability

QUESTION 11 In any given year, one in three Americans over the age of 65 will...

QUESTION 11

In any given year, one in three Americans over the age of 65 will experience a fall.  If you have three living grandparents over the age of 65, and assuming that the probability of a fall for each grandparent is independent:

What is the probability that none of the three grandparents will experience a fall?  Provide your answer as a decimal between 0 and 1.

4 points   

QUESTION 12

What is the probability that one or more grandparents will experience a fall?  Provide your answer as a decimal between 0 and 1.

4 points   

QUESTION 13

Below are the data (n=100) from a randomized trial designed to evaluate the effectiveness of a newly developed pain reliever designed to reduce pain in patients following joint replacement surgery. The trial compared the new pain reliever to the pain reliever currently in use (called the standard of care).  The outcome of interest was reduction of pain rating (3 or more scale points are considered a clinically meaningful reduction).

clinically meaningful

reduction in pain

no clinically meaningful

reduction in pain

new pain reliever 33 17
standard pain reliever 30 20

What is the probability of experiencing a clinically meaningful reduction in pain given that the patient received the new pain reliever? (express this probability as a decimal between 0 and 1)

4 points   

QUESTION 14

What is the probability that a patient in this trial received the new pain reliever, given that they experienced a clinically meaningful reduction in pain? (express this probability as a decimal between 0 and 1)


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