Solution Found!
Consider the patient groups in Exercise 2-98. Suppose a
Chapter 2, Problem 229SE(choose chapter or problem)
Consider the patient groups in Exercise 2-98. Suppose a patient is selected randomly. Let 𝐴 denote the event that the patient is in group 1 or 2, and let𝐵 denote the event that there is
no progression. 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 patient groups in Exercise 2-98. Suppose a patient is selected randomly. Let 𝐴 denote the event that the patient is in group 1 or 2, and let𝐵 denote the event that there is
no progression. 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 number of patients without progression of joint damage in each group was 76 of 114 patients (67%), 82 of 112 patients (73%), 104 of 120 patients (87%), and 113 of 121 patients (93%) respectively.
Let A denote the event that the patient is in group 1 or 2, and let B denote the event that there is no progression.
We have to find the following probabilities.
- P(A/B)
- P(B/A)
-
P(
-
P(A