The following table shows the distribution of murders by type of weapon for murder cases in a particular country over the past 12 years. Complete parts (a) through (e). (b) What is the probability that a randomly selected murder resulted from a rifle or shotgun? (Type a decimal rounded to three decimal places as needed.) P(rifle or shotgun) = Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. OA. If 1000 murders were randomly selected, exactly of them would have resulted from a rifle or shotgun. OB. If 1000 murders were randomly selected, we would expect about of them to have resulted from a rifle or shotgun (c) What is the probability that a randomly selected murder resulted from a handgun, rifle, or shotgun? P(handgun, rifle, or shotgun) = (Type a decimal rounded to three decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. OA. If 1000 murders were randomly selected, we would expect about of them to have resulted from a handgun, rifle, or shotgun. OB. If 1000 murders were randomly selected, exactly of them would have resulted from a handgun, rifle, or shotgun. # Type here to search O E Weapon Handgun Rifle Shotgun Unknown firearm Knives Hands, fists, etc. Other 64°F Cloudy Probability 0 474 0.024 0032 0.144 0.135 0.056 0.135

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 35PPS
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## Interpretation and Analysis of Murder Weapon Statistics

The following information concerns the distribution of murders by type of weapon used in murder cases over the past 12 years. This data can be essential for criminological studies, policy-making, and law enforcement strategies. The table below provides the probability distribution of different types of weapons used in murders:

| Weapon          | Probability |
|-----------------|-------------|
| Handgun         | 0.474       |
| Rifle           | 0.024       |
| Shotgun         | 0.023       |
| Unknown firearm | 0.144       |
| Knives          | 0.135       |
| Hands, fists, etc.| 0.056     |
| Other           | 0.135       |

### Exercises

**(b) What is the probability that a randomly selected murder resulted from a rifle or shotgun?**

\[ P(\text{rifle or shotgun}) = \, \_ \, \]

_(Type a decimal rounded to three decimal places as needed.)_

Interpret this probability: Select the correct choice below and fill in the answer box to complete your choice.

- A. If 1000 murders were randomly selected, exactly \[ \_ \, \] of them would have resulted from a rifle or shotgun.
- B. If 1000 murders were randomly selected, we would expect about \[ \_ \, \] of them to have resulted from a rifle or shotgun.

**(c) What is the probability that a randomly selected murder resulted from a handgun, rifle, or shotgun?**

\[ P(\text{handgun, rifle, or shotgun}) = \, \_ \, \]

_(Type a decimal rounded to three decimal places as needed.)_

Interpret this probability: Select the correct choice below and fill in the answer box to complete your choice.

- A. If 1000 murders were randomly selected, we would expect about \[ \_ \, \] of them to have resulted from a handgun, rifle, or shotgun.
- B. If 1000 murders were randomly selected, exactly \[ \_ \, \] of them would have resulted from a handgun, rifle, or shotgun.

### Explanation of Questions

- **Question (b)** requires calculating the combined probability of murders resulting from either a rifle or a shotgun. This involves summing the probabilities associated with each weapon type.
- **Question (c)** extends this to include murders involving hand
Transcribed Image Text:## Interpretation and Analysis of Murder Weapon Statistics The following information concerns the distribution of murders by type of weapon used in murder cases over the past 12 years. This data can be essential for criminological studies, policy-making, and law enforcement strategies. The table below provides the probability distribution of different types of weapons used in murders: | Weapon | Probability | |-----------------|-------------| | Handgun | 0.474 | | Rifle | 0.024 | | Shotgun | 0.023 | | Unknown firearm | 0.144 | | Knives | 0.135 | | Hands, fists, etc.| 0.056 | | Other | 0.135 | ### Exercises **(b) What is the probability that a randomly selected murder resulted from a rifle or shotgun?** \[ P(\text{rifle or shotgun}) = \, \_ \, \] _(Type a decimal rounded to three decimal places as needed.)_ Interpret this probability: Select the correct choice below and fill in the answer box to complete your choice. - A. If 1000 murders were randomly selected, exactly \[ \_ \, \] of them would have resulted from a rifle or shotgun. - B. If 1000 murders were randomly selected, we would expect about \[ \_ \, \] of them to have resulted from a rifle or shotgun. **(c) What is the probability that a randomly selected murder resulted from a handgun, rifle, or shotgun?** \[ P(\text{handgun, rifle, or shotgun}) = \, \_ \, \] _(Type a decimal rounded to three decimal places as needed.)_ Interpret this probability: Select the correct choice below and fill in the answer box to complete your choice. - A. If 1000 murders were randomly selected, we would expect about \[ \_ \, \] of them to have resulted from a handgun, rifle, or shotgun. - B. If 1000 murders were randomly selected, exactly \[ \_ \, \] of them would have resulted from a handgun, rifle, or shotgun. ### Explanation of Questions - **Question (b)** requires calculating the combined probability of murders resulting from either a rifle or a shotgun. This involves summing the probabilities associated with each weapon type. - **Question (c)** extends this to include murders involving hand
### Murder Data Analysis by Weapon Type

The following table showcases the distribution of murders by type of weapon used in murder cases in a particular country over the past 12 years. The provided data includes probabilities associated with each type of weapon. 

| Weapon           | Probability |
|------------------|-------------|
| Handgun          | 0.474       |
| Rifle            | 0.024       |
| Shotgun          | 0.032       |
| Unknown firearm  | 0.144       |
| Knives           | 0.135       |
| Hands, fists, etc.| 0.056      |
| Other            | 0.135       |

### Probability Analysis Questions

1. **Interpret this probability: Select the correct choice below and fill in the answer box to complete your choice.**

   **A.** If 1000 murders were randomly selected, we would expect about ____ of them to have resulted from a handgun, rifle, or shotgun.

   **B.** If 1000 murders were randomly selected, exactly ____ of them would have resulted from a handgun, rifle, or shotgun.

2. **(d) What is the probability that a randomly selected murder resulted from a weapon other than a gun?**

   \( P_{\text{weapon other than a gun}} = \) 

   (Type a decimal rounded to three decimal places as needed.)

3. **Interpret this probability: Select the correct choice below and fill in the answer box to complete your choice.**

   **A.** If 1000 murders were randomly selected, exactly ____ of them would have resulted from a weapon other than a gun.

   **B.** If 1000 murders were randomly selected, we would expect about ____ of them to have resulted from a weapon other than a gun.

4. **(e) Are murders with a shotgun unusual?**

   - No
   - Yes
Transcribed Image Text:### Murder Data Analysis by Weapon Type The following table showcases the distribution of murders by type of weapon used in murder cases in a particular country over the past 12 years. The provided data includes probabilities associated with each type of weapon. | Weapon | Probability | |------------------|-------------| | Handgun | 0.474 | | Rifle | 0.024 | | Shotgun | 0.032 | | Unknown firearm | 0.144 | | Knives | 0.135 | | Hands, fists, etc.| 0.056 | | Other | 0.135 | ### Probability Analysis Questions 1. **Interpret this probability: Select the correct choice below and fill in the answer box to complete your choice.** **A.** If 1000 murders were randomly selected, we would expect about ____ of them to have resulted from a handgun, rifle, or shotgun. **B.** If 1000 murders were randomly selected, exactly ____ of them would have resulted from a handgun, rifle, or shotgun. 2. **(d) What is the probability that a randomly selected murder resulted from a weapon other than a gun?** \( P_{\text{weapon other than a gun}} = \) (Type a decimal rounded to three decimal places as needed.) 3. **Interpret this probability: Select the correct choice below and fill in the answer box to complete your choice.** **A.** If 1000 murders were randomly selected, exactly ____ of them would have resulted from a weapon other than a gun. **B.** If 1000 murders were randomly selected, we would expect about ____ of them to have resulted from a weapon other than a gun. 4. **(e) Are murders with a shotgun unusual?** - No - Yes
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