Karen arrives at the subway station every day at a random time and takes the first train that arrives. If she takes the A train, which arrives regularly every hour, she goes to the museum. If she takes the B train, which also arrives regularly every hour, she goes to the beach. A month after starting this game, she has gone to the beach 25 times and to the museum 5 times. Of the following options, which is the most likely explanation? Choose the correct answer below. OA. The A train always arrives 10 minutes after the B train, so Karen decides to wait for train A so she does not need to rush. OB. The A train always arrives 10 minutes before the B train, but Karen chooses to take train B. OC. The A train always arrives 10 minutes before the B train, but Karen misses train A and takes train B. OD. The A train arrives on the hour and the B train always arrives 30 minutes later, but Karen chooses wait the extra 30 minutes for train B. E. The A train always arrives 10 minutes after the B train, so Karen takes train B and does not wait for train A.
Karen arrives at the subway station every day at a random time and takes the first train that arrives. If she takes the A train, which arrives regularly every hour, she goes to the museum. If she takes the B train, which also arrives regularly every hour, she goes to the beach. A month after starting this game, she has gone to the beach 25 times and to the museum 5 times. Of the following options, which is the most likely explanation? Choose the correct answer below. OA. The A train always arrives 10 minutes after the B train, so Karen decides to wait for train A so she does not need to rush. OB. The A train always arrives 10 minutes before the B train, but Karen chooses to take train B. OC. The A train always arrives 10 minutes before the B train, but Karen misses train A and takes train B. OD. The A train arrives on the hour and the B train always arrives 30 minutes later, but Karen chooses wait the extra 30 minutes for train B. E. The A train always arrives 10 minutes after the B train, so Karen takes train B and does not wait for train A.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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which one is correct?plz explain
![**Probability Scenario Analysis: Subway Train Arrival and Destination Choices**
**Scenario Description:**
Karen arrives at the subway station every day at a random time and takes the first train that arrives. If she takes the A train, which arrives regularly every hour, she goes to the museum. If she takes the B train, which also arrives regularly every hour, she goes to the beach. A month after starting this game, she has gone to the beach 25 times and to the museum 5 times. Of the following options, which is the most likely explanation?
---
**Multiple-Choice Question:**
**Choose the correct answer below.**
1. A. The A train always arrives 10 minutes after the B train, so Karen decides to wait for train A so she does not need to rush.
2. B. The A train always arrives 10 minutes before the B train, but Karen chooses to take train B.
3. C. The A train always arrives 10 minutes before the B train, but Karen misses train A and takes train B.
4. D. The A train arrives on the hour and the B train always arrives 30 minutes later, but Karen chooses to wait the extra 30 minutes for train B.
5. E. The A train always arrives 10 minutes after the B train, so Karen takes train B and does not wait for train A.
---
In this scenario, Karen is more likely to take the B train to the beach based on the frequency; the observations indicate that she has taken the B train 25 times and the A train 5 times in a month. The most suitable explanation among the options provided needs to consider this significant difference in frequency.
Given the frequencies:
- Beach: 25 times
- Museum: 5 times
The correct answer should align with the higher likelihood of Karen taking the B train.
**Explanation of Correct Answer:**
Option E is the most logical choice because it aligns with the observed frequency:
- If the A train always arrives 10 minutes after the B train, Karen would often take the B train rather than wait for the A train to arrive.
- This explanation matches the higher frequency of trips to the beach (25 times).
**Conclusion:**
The most plausible explanation based on the information provided is:
**Option E: The A train always arrives 10 minutes after the B train, so Karen takes train B and does not wait for train A.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cb34fa2-27a9-4f9e-88cb-60cf4fc3a7a1%2Fe1597993-4a19-4af0-8221-60522e515b4f%2Fvgxbaias_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability Scenario Analysis: Subway Train Arrival and Destination Choices**
**Scenario Description:**
Karen arrives at the subway station every day at a random time and takes the first train that arrives. If she takes the A train, which arrives regularly every hour, she goes to the museum. If she takes the B train, which also arrives regularly every hour, she goes to the beach. A month after starting this game, she has gone to the beach 25 times and to the museum 5 times. Of the following options, which is the most likely explanation?
---
**Multiple-Choice Question:**
**Choose the correct answer below.**
1. A. The A train always arrives 10 minutes after the B train, so Karen decides to wait for train A so she does not need to rush.
2. B. The A train always arrives 10 minutes before the B train, but Karen chooses to take train B.
3. C. The A train always arrives 10 minutes before the B train, but Karen misses train A and takes train B.
4. D. The A train arrives on the hour and the B train always arrives 30 minutes later, but Karen chooses to wait the extra 30 minutes for train B.
5. E. The A train always arrives 10 minutes after the B train, so Karen takes train B and does not wait for train A.
---
In this scenario, Karen is more likely to take the B train to the beach based on the frequency; the observations indicate that she has taken the B train 25 times and the A train 5 times in a month. The most suitable explanation among the options provided needs to consider this significant difference in frequency.
Given the frequencies:
- Beach: 25 times
- Museum: 5 times
The correct answer should align with the higher likelihood of Karen taking the B train.
**Explanation of Correct Answer:**
Option E is the most logical choice because it aligns with the observed frequency:
- If the A train always arrives 10 minutes after the B train, Karen would often take the B train rather than wait for the A train to arrive.
- This explanation matches the higher frequency of trips to the beach (25 times).
**Conclusion:**
The most plausible explanation based on the information provided is:
**Option E: The A train always arrives 10 minutes after the B train, so Karen takes train B and does not wait for train A.**
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