Solution Found!
Consider the well failure data in Exercise 2-53. Let A
Chapter 2, Problem 77E(choose chapter or problem)
Consider the well failure data in Exercise 2-53. Let denote the event that the geological formation has more than 1000 wells, and let denote the event that a well failed. Determine
the following probabilities.
(a) \(P(A \cap B)\) (b) \(P\left(A^{\prime}\right)\) (c) \(P(A \cup B)\) (d) \(P\left(A \cup B^{\prime}\right)\) (e) \(P\left(A^{\prime} \cap B^{\prime}\right)\)
Equation transcription:
Text transcription:
P(A cap B)
P(A^{prime})
P(A cup B)
P\left(A cup B^{prime})
P\left(A^{prime} cap B^{prime})
Questions & Answers
QUESTION:
Consider the well failure data in Exercise 2-53. Let denote the event that the geological formation has more than 1000 wells, and let denote the event that a well failed. Determine
the following probabilities.
(a) \(P(A \cap B)\) (b) \(P\left(A^{\prime}\right)\) (c) \(P(A \cup B)\) (d) \(P\left(A \cup B^{\prime}\right)\) (e) \(P\left(A^{\prime} \cap B^{\prime}\right)\)
Equation transcription:
Text transcription:
P(A cap B)
P(A^{prime})
P(A cup B)
P\left(A cup B^{prime})
P\left(A^{prime} cap B^{prime})
ANSWER:Solution:
Step 1 of 6:
The data regarding the geographical formation, total number of wells and number of failed wells are given.
Geographical formation group |
Wells |
|
Failed |
Total |
|
Gneiss |
170 |
1685 |
Granite |
2 |
28 |
Loch raven schist |
443 |
3733 |
Mafic |
14 |
363 |
Marble |
29 |
309 |
Prettyboy schist |
60 |
1403 |
Other schists |
46 |
933 |
Serpentined |
3 |
39 |
Also, it is given that A denotes the event that the geographical location has more than 1000 wells and B denotes the event that a well failed.
Using this we need to find the required values.