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During the rehabilitation after myocardial infarction, patient A performed a physical capacity test on the equipment X and scored 65 points out of 100. Patient

During the rehabilitation after myocardial infarction, patient A performed a physical capacity test on the equipment X and scored 65 points out of 100. Patient B performed a physical capacity test on the equipment Y and scored 42 points out of 200. Suppose the equipment X is characterized by a mean of 60 and a standard deviation of 10, while the equipment Y by a mean of 37 and a standard deviation of 5. The scores are distributed according to the normal distribution.

a) Which patient has a better physical capacity?

b)How many points a patient needs to score with each equipment to be 99% above of all patients under rehabilitation?

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