Answer: Consider the well failure data in Exercise 2-53.

Chapter 2, Problem 135E

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QUESTION:

Consider the well failure data in Exercise 2-53. Let A denote the event that the geological formation has more than 1000 wells, and let 𝐵denote the event that a well failed. Determine

the following probabilities.

(a) \(P(A \cap B)\)         (b) \(P(A \cup B)\)         (c) \(P\left(A^{\prime} \cup B^{\prime}\right)\)        (d) Use the total probability rule to determine P(A)

Equation transcription:

Text transcription:

P(A cap B)

P(A cup B)

P(A^{prime} cup B^{prime})

Questions & Answers

QUESTION:

Consider the well failure data in Exercise 2-53. Let A denote the event that the geological formation has more than 1000 wells, and let 𝐵denote the event that a well failed. Determine

the following probabilities.

(a) \(P(A \cap B)\)         (b) \(P(A \cup B)\)         (c) \(P\left(A^{\prime} \cup B^{\prime}\right)\)        (d) Use the total probability rule to determine P(A)

Equation transcription:

Text transcription:

P(A cap B)

P(A cup B)

P(A^{prime} cup B^{prime})

ANSWER:

Solution

Step 1 of 5

Let A denote the event that the geological formation has more than 1000 wells

Let B be the event that the well be failed

(1685+3733+1403)8493

          =6821/8493

          =0.8031

(170+2+443+14+29+60+46+3)8493

          =767/8493

          =0.0903


Step 1 of 5

a) We have to find

 

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