Police plan to enforce speed limits by using radar traps at four different locations within the city limits. The radar traps at each of the locations L1, L, L3, and La will be operated 20%, 30%, 40%, and 30% of the time. A person who is speeding on her way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. If the person received a speeding tícket on her way to work, what is the probability that she passed through the radar trap located at L4? If the person received a speeding ticket on her way to work, the probability that she passed through the radar trap located at L4 is (Type an integer or a simplified fraction.) Enter your answer in the answer box and then click Check Answer All parts showing Clear All Check Answer

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**Title: Probability of Passing Through Radar Trap Locations**

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**Educational Content on Probability**

Police plan to enforce speed limits by using radar traps at four different locations within the city limits. The radar traps at each of the locations \( L_1, L_2, L_3, \) and \( L_4 \) will be operated 20%, 30%, 40%, and 30% of the time, respectively. A person who is speeding on her way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations.

If the person received a speeding ticket on her way to work, what is the probability that she passed through the radar trap located at \( L_4 \)?

If the person received a speeding ticket on her way to work, the probability that she passed through the radar trap located at \( L_4 \) is \(\boxed{} \).

*(Type an integer or a simplified fraction.)*

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**Instructions:**

- Enter your answer in the answer box and then click "Check Answer."

- Clear any previous entries using the "Clear All" button.

- Ensure all parts of the problem are visible before proceeding.

**Graph/Diagram Explanation:**

The image does not contain any graphs or diagrams.

---

**Interactive Elements:**

- Answer Box: This is where you input your answer.
- Check Answer Button: Click this once you have entered your answer to verify if it is correct.
- Clear All Button: Use this to clear your input in the answer box.

---

**Further Learning:**

Understanding the concepts of conditional probability and how to incorporate the provided probabilistic values is crucial to solving this problem. Here are a few hints to get you started:

- Recall Bayes' Theorem to calculate the required probability.
- Consider the time each radar trap operates as a weighting factor in your calculations.

Happy Learning!
Transcribed Image Text:**Title: Probability of Passing Through Radar Trap Locations** --- **Educational Content on Probability** Police plan to enforce speed limits by using radar traps at four different locations within the city limits. The radar traps at each of the locations \( L_1, L_2, L_3, \) and \( L_4 \) will be operated 20%, 30%, 40%, and 30% of the time, respectively. A person who is speeding on her way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. If the person received a speeding ticket on her way to work, what is the probability that she passed through the radar trap located at \( L_4 \)? If the person received a speeding ticket on her way to work, the probability that she passed through the radar trap located at \( L_4 \) is \(\boxed{} \). *(Type an integer or a simplified fraction.)* --- **Instructions:** - Enter your answer in the answer box and then click "Check Answer." - Clear any previous entries using the "Clear All" button. - Ensure all parts of the problem are visible before proceeding. **Graph/Diagram Explanation:** The image does not contain any graphs or diagrams. --- **Interactive Elements:** - Answer Box: This is where you input your answer. - Check Answer Button: Click this once you have entered your answer to verify if it is correct. - Clear All Button: Use this to clear your input in the answer box. --- **Further Learning:** Understanding the concepts of conditional probability and how to incorporate the provided probabilistic values is crucial to solving this problem. Here are a few hints to get you started: - Recall Bayes' Theorem to calculate the required probability. - Consider the time each radar trap operates as a weighting factor in your calculations. Happy Learning!
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