The following data lists the number of correct and wrong dosage amounts calculat

Question

The following data lists the number of correct and wrong dosage amounts calculated by 36 physicians in a research experiment, a group of 19 physicians was given bottles of epinephrine labeled with a concentration of "1 milligram in 1 milliliter solution." and another group of 17 physicians was given bottles labeled with a ratio of '1 milliliter of a 1:1000 solution.' If one of the physicians is randomly selected, what is the probability of getting one who a correct dosage calculation or was given the bottle with a concentration label. P(physician made a correct dosage calculation or was given the bottle with a concentration label)

Explanation / Answer

Following table shows the row total and column total:

From the above table we have

P(physician made a correct dosage calculation) = 19/36

P(physician was given the bottle with a concentration label) = 19/36

P(physician made a correct dosage calculation and was given the bottle with a concentration label) = 14/36

Now by the addition rule we have

P(physician made a correct dosage calculation or was given the bottle with a concentration label)=P(physician made a correct dosage calculation)+P(physician was given the bottle with a concentration label) -P(physician made a correct dosage calculation and was given the bottle with a concentration label) = (19/36)+(19/36)-(14/36) = 0.667

Correct Dosage Calcualtions Wrong Dosage Calculations Total Concentration Label 14 5 19 Ratio level 5 12 17 Total 19 17 36

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