Completion of Treatment Yes (C,) No (C2) P(T;) Pediatric (T1) 0.085 0.276 0.361 Practice Family (T2) 0.088 0.191 0.279 ΟΒIGYN (T3) 0.143 0.217 0.360 P(C) 0.316 0.684 1
Completion of Treatment Yes (C,) No (C2) P(T;) Pediatric (T1) 0.085 0.276 0.361 Practice Family (T2) 0.088 0.191 0.279 ΟΒIGYN (T3) 0.143 0.217 0.360 P(C) 0.316 0.684 1
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Transcribed Image Text:**Title: Completion of Treatment by Medical Practice Type**
This table presents the probability distribution of treatment completion across three different medical practice types: Pediatric, Family, and OB/GYN. Each practice type has corresponding probabilities for treatment completion ("Yes") and non-completion ("No").
### Table Breakdown
- **Practice Types and Probabilities:**
- **Pediatric (T₁)**
- Probability of Completion (Yes \(C_1\)): 0.085
- Probability of Non-Completion (No \(C_2\)): 0.276
- Total Probability \(P(T₁)\): 0.361
- **Family (T₂)**
- Probability of Completion (Yes \(C_1\)): 0.088
- Probability of Non-Completion (No \(C_2\)): 0.191
- Total Probability \(P(T₂)\): 0.279
- **OB/GYN (T₃)**
- Probability of Completion (Yes \(C_1\)): 0.143
- Probability of Non-Completion (No \(C_2\)): 0.217
- Total Probability \(P(T₃)\): 0.360
### Overall Probabilities
- The combined probability of treatment completion across all practices \(P(C_j)\) is:
- Yes \(C_1\): 0.316
- No \(C_2\): 0.684
The overall probability \(P(C_j)\) values sum up to 1, indicating a comprehensive coverage of all possible outcomes within the given dataset. This table can help in understanding how likely patients are to complete their treatments based on practice type, which could be valuable for healthcare providers aiming to enhance patient care and treatment adherence.

Transcribed Image Text:**Educational Resource on Probability Distribution in Medical Treatments**
Researchers examined characteristics that may influence whether young female patients complete a sequence of injections for a certain vaccine. The following joint probability distribution summarizes completion of treatment versus practice type. Consider a randomly selected patient in the study. Complete parts (a) through (e) below.
**Instructions:**
Click the icon to view the joint probability distribution for treatment versus practice type.
### Multiple Choice Questions:
1. **The probability that the patient begins treatment with an OB/GYN is ____ %.**
2. **The probability that the patient doesn't complete the full sequence of injections is ____ %.**
3. **E. The probability that the patient completes the full sequence of injections is 31.6 %.**
#### Subsection b:
- **Find P(T₃) and interpret the result in terms of percentages.**
### Select the correct choice below and fill in the answer box to complete your choice:
(Type an integer or a decimal. Round to one decimal place as needed.)
**Options:**
- **A.** The probability that the patient begins treatment with a pediatrician is ____ %.
- **B.** The probability that the patient doesn't complete the full sequence of injections is ____ %.
- **C.** The probability that the patient completes the full sequence of injections is ____ %.
- **D.** The probability that the patient begins treatment with a family doctor is ____ %.
- **E.** The probability that the patient begins treatment with an OB/GYN is ____ %.
**Note:** Ensure to fill in the blank spaces with the relevant probabilities from the joint probability distribution viewable through the icon. This exercise aids in understanding how different practice types might influence vaccine sequence completion rates among young female patients.
Expert Solution

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From the table, we have P(T3) is 0.360.
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