Could you please help with part b? **Problem 2.63: Settlement Problems of a Structure**The structure shown in the diagram could experience settlement problems. The likelihood of settlement (event A) is influenced by the subsoil conditions, specifically whether a weak zone is present or not.- **Event S:** Small weak zone with a probability of settlement (A) as 0.2.- **Event L:** Large weak zone with a probability of settlement (A) as 0.6.- **Event N:** No weak zone with a probability of settlement (A) as 0.05.Based on geological data and previous site exploration, engineers estimate:- A 70% chance of having no weak zone (event N).- If there is a weak zone, it’s twice as likely to be small than large.The figure shows a structure with an underlying weak zone, asking if it's large or small.**Questions and Answers:**(a) **Probability of Settlement Problem**- What is the probability that the structure will have a settlement problem? - **Answer:** 0.135(b) **Additional Boring Analysis**If a new boring is conducted to assess weak material presence, engineers estimate:- 80% chance of encountering a large weak zone.- 30% chance for a small weak zone.- No weak zone results in no encounter.Assuming the boring finds no weak material, determine:i. **Probability of a Large Weak Zone** - **Answer:** 0.023ii. **Probability of a Small Weak Zone** - **Answer:** 0.163iii. **Probability of Settlement Problem Given No Weak Zone Found** - **Answer:** 0.087This analysis helps assess risks associated with structural settlement due to weak subsoil conditions.

Answer:----. Date:----01/10/2021

Answered: Could you please help with part b?

Math

Probability

Could you please help with part b?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Could you please help with part b?

**Problem 2.63: Settlement Problems of a Structure**

The structure shown in the diagram could experience settlement problems. The likelihood of settlement (event A) is influenced by the subsoil conditions, specifically whether a weak zone is present or not.

- **Event S:** Small weak zone with a probability of settlement (A) as 0.2.
- **Event L:** Large weak zone with a probability of settlement (A) as 0.6.
- **Event N:** No weak zone with a probability of settlement (A) as 0.05.

Based on geological data and previous site exploration, engineers estimate:
- A 70% chance of having no weak zone (event N).
- If there is a weak zone, it’s twice as likely to be small than large.

The figure shows a structure with an underlying weak zone, asking if it's large or small.

**Questions and Answers:**

(a) **Probability of Settlement Problem**

- What is the probability that the structure will have a settlement problem?
- **Answer:** 0.135

(b) **Additional Boring Analysis**

If a new boring is conducted to assess weak material presence, engineers estimate:

- 80% chance of encountering a large weak zone.
- 30% chance for a small weak zone.
- No weak zone results in no encounter.

Assuming the boring finds no weak material, determine:

i. **Probability of a Large Weak Zone**
- **Answer:** 0.023

ii. **Probability of a Small Weak Zone**
- **Answer:** 0.163

iii. **Probability of Settlement Problem Given No Weak Zone Found**
- **Answer:** 0.087

This analysis helps assess risks associated with structural settlement due to weak subsoil conditions.

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