Solution Found!
An article in The Journal of Data Science [“A Statistical
Chapter 2, Problem 53E(choose chapter or problem)
An article in The Journal of Data Science [“A Statistical Analysis of Well Failures in Baltimore County” (2009, Vol. 7, pp. 111–127)] provided the following table of well failures for different geological formation groups in Baltimore County.
Let denote the event that the geological formation has more than 1000 wells, and let
denote the event that a well failed. Determine the number of wells in each of the following events.
(a) \(A \cap B\) (b) \(A^{\prime}\) (c) \(A \cup B\) (d) \(A \cap B^{\prime}\) (e) \(A^{\prime} \cap B^{\prime}\)
Equation transcription:
Text transcription:
A cap B
A^{prime}
A cup B
A cap B^{prime}
A^{prime} cap B^{prime}
Questions & Answers
QUESTION:
An article in The Journal of Data Science [“A Statistical Analysis of Well Failures in Baltimore County” (2009, Vol. 7, pp. 111–127)] provided the following table of well failures for different geological formation groups in Baltimore County.
Let denote the event that the geological formation has more than 1000 wells, and let
denote the event that a well failed. Determine the number of wells in each of the following events.
(a) \(A \cap B\) (b) \(A^{\prime}\) (c) \(A \cup B\) (d) \(A \cap B^{\prime}\) (e) \(A^{\prime} \cap B^{\prime}\)
Equation transcription:
Text transcription:
A cap B
A^{prime}
A cup B
A cap B^{prime}
A^{prime} cap B^{prime}
ANSWER:Step 1 of 3
We have to determine the no. of wells for several events where:
A = event that the geological formation has more than 1000 wells
B = event that the well failed
a) The no. of wells in the event \(A\cap B\)
\(A\cap B =170+443+60=673\)