pint of entry to the park.+ Consider a random sample of 175 Rocky Mountain National Park visitors. Use the normal approximation and your answers to four decimal places.) that at least 65 visitors had a recorded entry through the Beaver Meadows park entrance? y that at least 60 but less than 70 visitors had a recorded entry through the Beaver Meadows park entrance? ty that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance? ity that more than 55 visitors have no recorded point of entry? It 3 E D Q C 4 ● R F % 5 T A 6 A Y & 7 G H D U V BN W 00 8 J 1 9 M K & O O cricut L F

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### Visitor Entry Statistics at Rocky Mountain National Park

Rocky Mountain National Park is a popular park for outdoor recreation activities in Colorado. According to U.S. National Park Service statistics, 46.7% of visitors to Rocky Mountain National Park in 2018 entered through the Beaver Meadows park entrance, 24.3% of visitors entered through the Fall River park entrance, 6.3% of visitors entered through the Grand Lake park entrance, and 22.7% of visitors had no recorded point of entry to the park.

Consider a random sample of 175 Rocky Mountain National Park visitors. Use the normal approximation of the binomial distribution to answer the following questions. (Round your answers to four decimal places.)

1. **What is the probability that at least 65 visitors had a recorded entry through the Beaver Meadows park entrance?**
   
2. **What is the probability that at least 60 but less than 70 visitors had a recorded entry through the Beaver Meadows park entrance?**
   
3. **What is the probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance?**
   
4. **What is the probability that more than 55 visitors have no recorded point of entry?**

Unfortunately, the responses to these questions are marked as incorrect (indicated by red X marks).

If you need help understanding these probabilities and how to calculate them using the normal approximation of the binomial distribution, please refer to additional resources or consult relevant statistical guides.
Transcribed Image Text:### Visitor Entry Statistics at Rocky Mountain National Park Rocky Mountain National Park is a popular park for outdoor recreation activities in Colorado. According to U.S. National Park Service statistics, 46.7% of visitors to Rocky Mountain National Park in 2018 entered through the Beaver Meadows park entrance, 24.3% of visitors entered through the Fall River park entrance, 6.3% of visitors entered through the Grand Lake park entrance, and 22.7% of visitors had no recorded point of entry to the park. Consider a random sample of 175 Rocky Mountain National Park visitors. Use the normal approximation of the binomial distribution to answer the following questions. (Round your answers to four decimal places.) 1. **What is the probability that at least 65 visitors had a recorded entry through the Beaver Meadows park entrance?** 2. **What is the probability that at least 60 but less than 70 visitors had a recorded entry through the Beaver Meadows park entrance?** 3. **What is the probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance?** 4. **What is the probability that more than 55 visitors have no recorded point of entry?** Unfortunately, the responses to these questions are marked as incorrect (indicated by red X marks). If you need help understanding these probabilities and how to calculate them using the normal approximation of the binomial distribution, please refer to additional resources or consult relevant statistical guides.
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