Solution Found!
Consider the treatments in Exercise 2-57. Suppose a
Chapter 2, Problem 228SE(choose chapter or problem)
Consider the treatments in Exercise 2-57. Suppose a patient is selected randomly. Let 𝐴 denote the event that the patient is treated with ribavirin plus interferon alfa or interferon alfa, and let 𝐵 denote the event that the response is complete. Determine the following probabilities.
(a) \(P(A \backslash B)\) (b) \(P(B \backslash A)\) (c) \(P(A \cap B)\) (d) \(P(A \cup B)\)
Equation transcription:
Text transcription:
P(A backslash B)
P(B backslash A)
P(A cap B)
P(A cup B)
Questions & Answers
QUESTION:
Consider the treatments in Exercise 2-57. Suppose a patient is selected randomly. Let 𝐴 denote the event that the patient is treated with ribavirin plus interferon alfa or interferon alfa, and let 𝐵 denote the event that the response is complete. Determine the following probabilities.
(a) \(P(A \backslash B)\) (b) \(P(B \backslash A)\) (c) \(P(A \cap B)\) (d) \(P(A \cup B)\)
Equation transcription:
Text transcription:
P(A backslash B)
P(B backslash A)
P(A cap B)
P(A cup B)
ANSWER:Solution:
Step 1 of 3:
The total patients in each group and the number that showed a complete (positive) response after 24 weeks of treatment is given.
Complete Response Total | ||
Ribavirin plus interferon alfa |
16 |
21 |
Interferon alfa |
6 |
19 |
Untreated controls |
0 |
20 |
We have to find the following probabilities.
- P(A/B)
- P(B/A)
-
P(A
-
P(A
B)