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Quantitative Methods: The Effect of Allergy Relief Medicine

Please apply quantitative methods for the following case.

A pharmaceutical company conducted a study to evaluate the effect of an allergy relief medicine. 250 patients with symptoms that included itchy eyes and a skin rash received the new drug.

The results of the study are as follows:
80 of the patients treated experienced eye relief,
154 had their skin rash clear up, and
45 experiences relief of both itchy eyes and skin rash.

What is the probability that a patient who takes the drug will experience relief of at least one of the two symptoms?

Solution Preview

For this problem, you would need to draw a Venn Diagram (the overlapping circles). I cannot draw one here, but imagine the following:

A square contains 250 dots spaced evenly in it (representing the 250 test subjects).

Two circles are drawn in the circle overlapping slightly in the middle.

The first circle (called ...

Solution Summary

The probability that a patient that takes a new allergy relief medicine and will develop side effects is determined.

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