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Hannah thompson 03/19/25 9:17 AM
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Question 7, 11.1.19
HW Score: of 20 points
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Part 1 of 4
Points: 0 of 1
A medical researcher administers an experimental medical treatment to 300 patients. The patients in the study are categorized by blood types , and . The researcher observed that the treatment had a favorable outcome for 63 of the 90 patients with blood type of the 38 patients with blood type of the 2 patients with blood type , and none of the 170 patients with blood type . Use this information to complete parts (a) through (d).
a) Determine the empirical probability of a favorable outcome for those patients with blood type .
(Type an integer or a simplified fraction.)

Ask by Colon Flynn. in the United States
Mar 19,2025

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Solución

  1. The total number of patients with blood type is given as 90.
  2. Out of these, the number of favorable outcomes is 63.
  3. The empirical probability is the ratio of favorable outcomes to the total number of patients with blood type :
  4. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 9:
Thus, the empirical probability is .

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Bonus Knowledge

To find the empirical probability of a favorable outcome for patients with blood type , you simply divide the number of favorable outcomes by the total number of patients of that blood type. That means you take the 63 favorable outcomes for blood type and divide it by the total number of patients with blood type , which is 90. So, or 0.7 when simplified.
Now, onto the empirical probabilities for other blood types! It’s fascinating to think how the varying responses to treatments can highlight the importance of personalized medicine based on genetic factors such as blood type. Essentially, this means that different individuals may respond differently to the same medication or treatment depending on these biological factors. Always remember, the ongoing research in this area could reveal crucial insights that lead to more customized treatment options in the future!

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