Solution Found!
Solution: Consider the hospital emergency room data in
Chapter 2, Problem 133E(choose chapter or problem)
Consider the hospital emergency room data in Example 2-8. Let 𝐴 denote the event that a visit is to hospital 4 and let 𝐵 denote the event that a visit results in LWBS (at any hospital).
Determine the following probabilities.
(a) \(P(A \cap B)\) (b) \(P(A \cup B)\) (c) \(P^{\prime}\left(A^{\prime} \cup B^{\prime}\right)\) (d) Use the total probability rule to determine P(A)
Equation transcription:
Text transcription:
P(A cap B)
P(A cup B)
P^{prime}(A^{prime} cup B^{prime})
Questions & Answers
QUESTION:
Consider the hospital emergency room data in Example 2-8. Let 𝐴 denote the event that a visit is to hospital 4 and let 𝐵 denote the event that a visit results in LWBS (at any hospital).
Determine the following probabilities.
(a) \(P(A \cap B)\) (b) \(P(A \cup B)\) (c) \(P^{\prime}\left(A^{\prime} \cup B^{\prime}\right)\) (d) Use the total probability rule to determine P(A)
Equation transcription:
Text transcription:
P(A cap B)
P(A cup B)
P^{prime}(A^{prime} cup B^{prime})
ANSWER:Solution:
Step 1 of 5:
The summarized data regarding the emergency rooms of the hospitals are given.
Hospital |
|||||
1 |
2 |
3 |
4 |
Total |
|
Total |
5292 |
6991 |
5640 |
4329 |
22,252 |
LWBS |
195 |
270 |
246 |
242 |
953 |
Admitted |
1277 |
1558 |
666 |
984 |
4485 |
Not admitted |
3820 |
5163 |
4728 |
3103 |
16,814 |
Also, it is given that A denotes the event that a visit is to hospital 4 and B denotes the event that a visit results in LWBS at any hospital.
Using this we have to find the required values.