This is a practice problem. Will not be graded. **Transcription and Explanation of Educational Content**---### Problem 2: Use of Normal Approximation to Binomial DistributionIn the following problem, evaluate the appropriateness of using the normal approximation to the binomial distribution. Then, estimate the requested probabilities using the normal distribution.**Scenario**: Do you try to pad an insurance claim to cover your deductible? About 37% of all U.S. adults will try to pad their insurance claims! Suppose that you are the director of an insurance adjustment office. Your office has just received 126 insurance claims to be processed in the next few days. Find the following probabilities. (Round your answers to four decimal places.)#### Options:- **(a)** Half or more of the claims have been padded - Probability: 0.0020 ✖️- **(b)** Fewer than 45 of the claims have been padded - Probability: 0.3504 ✖️- **(c)** From 40 to 64 of the claims have been padded - Probability: 0.9061 ✔️- **(d)** More than 80 of the claims have not been padded - Probability: 0.0000 ✖️**Support Tools**:- To further understand the problems, options for additional assistance such as "Need Help? Read It!", "Watch It!" are available.Submit your answers through the "Submit Answer" button.---### Problem 3: Analyzing the Relationship in Crime CasesIn the following problem, evaluate the appropriateness of using the normal approximation to the binomial distribution. Then, estimate the requested probabilities using the normal distribution.**Scenario**: What are the chances that a person who is murdered actually knew the murderer? The answer to this question helps explain why a lot of police detective work begins with relatives and friends of the victim! About 65% of people who are murdered actually knew the person who committed the murder. Suppose that a detective file in New Orleans has 64 current unsolved murders. Find the following probabilities. (Round your answers to four decimal places.)**Support Tools**:- Access additional support through options like "My Notes", "Ask Your Teacher", and "Practice Another".---This educational content guides students through statistical problem-solving using the normal approximation of binomial probabilities, fostering understanding of its applications in real-world scenarios such as insurance claims and crime investigations.

Name: This is a practice problem. Will not be graded. **Transcription and Ex
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Description: This is a practice problem. Will not be graded. **Transcription and Explanation of Educational Content**---### Problem 2: Use of Normal Approximation to Binomial DistributionIn the following problem, evaluate the appropriateness of using the normal a

The binomial probability rule states that the probability of (x) success and (n-x) failures in (n) independent trials of the experiment which has (p) as the probability of success in a single trial is obtained by the formula nxpx(1-p)n-x. The mean of the binomial random variable obtained by the formula μ=np, where (n) is the number of trials and (p) is the probability of success. μ=np=126*0.37=46.62 The standard deviation of the binomial random variable obtained by the formula is σ=np1-p, where (n) is the number of trials and (p) is the probability of success. σ=46.621-0.37=5.41946P(X≥63)=1-Pz<(63+0.5)-46.625.41946=1-Pz<3.11=1-0.9991=0.0009P(X<45)=P(z<(45-0.5)-46.625.41946)=P(z<-0.39)=0.3483P(X≥80)=1-Pz<(80+0.5)-46.625.41946=1-Pz<6.25=1-1.0000=0

Math

Statistics

Do you try to pad an insurance claim to cover your deductible? About 37% of all U.S. adults will try to pad their insurance claims! Suppose that you are the d Your office has just received 126 insurance claims to be processed in the next few days. Find the following probabilities. (Round your answers to four decimal A USE SALT (a) half or more of the claims have been padded 0020 (b) fewer than 45 of the claims have been padded 3504 (c) from 40 to 64 of the claims have been padded 9061 (d) more than 80 of the claims have not been padded .0000 Need Help? Watch It Read it

Do you try to pad an insurance claim to cover your deductible? About 37% of all U.S. adults will try to pad their insurance claims! Suppose that you are the d Your office has just received 126 insurance claims to be processed in the next few days. Find the following probabilities. (Round your answers to four decimal A USE SALT (a) half or more of the claims have been padded 0020 (b) fewer than 45 of the claims have been padded 3504 (c) from 40 to 64 of the claims have been padded 9061 (d) more than 80 of the claims have not been padded .0000 Need Help? Watch It Read it

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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This is a practice problem. Will not be graded.

**Transcription and Explanation of Educational Content**

---

### Problem 2: Use of Normal Approximation to Binomial Distribution

In the following problem, evaluate the appropriateness of using the normal approximation to the binomial distribution. Then, estimate the requested probabilities using the normal distribution.

**Scenario**:
Do you try to pad an insurance claim to cover your deductible? About 37% of all U.S. adults will try to pad their insurance claims! Suppose that you are the director of an insurance adjustment office. Your office has just received 126 insurance claims to be processed in the next few days. Find the following probabilities. (Round your answers to four decimal places.)

#### Options:
- **(a)** Half or more of the claims have been padded
- Probability: 0.0020 ✖️

- **(b)** Fewer than 45 of the claims have been padded
- Probability: 0.3504 ✖️

- **(c)** From 40 to 64 of the claims have been padded
- Probability: 0.9061 ✔️

- **(d)** More than 80 of the claims have not been padded
- Probability: 0.0000 ✖️

**Support Tools**:
- To further understand the problems, options for additional assistance such as "Need Help? Read It!", "Watch It!" are available.

Submit your answers through the "Submit Answer" button.

---
### Problem 3: Analyzing the Relationship in Crime Cases

In the following problem, evaluate the appropriateness of using the normal approximation to the binomial distribution. Then, estimate the requested probabilities using the normal distribution.

**Scenario**:
What are the chances that a person who is murdered actually knew the murderer? The answer to this question helps explain why a lot of police detective work begins with relatives and friends of the victim! About 65% of people who are murdered actually knew the person who committed the murder. Suppose that a detective file in New Orleans has 64 current unsolved murders. Find the following probabilities. (Round your answers to four decimal places.)

**Support Tools**:
- Access additional support through options like "My Notes", "Ask Your Teacher", and "Practice Another".

---

This educational content guides students through statistical problem-solving using the normal approximation of binomial probabilities, fostering understanding of its applications in real-world scenarios such as insurance claims and crime investigations.

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