Select The Correct Answer.Of A Group Of 500 People, 60 Are Fit Enough To Climb Mount Shasta In California. The Group Has 300 Women And 200 Men. $12\%$ Of The Men Can Climb The Mountain. What Is The Probability That A Person Picked At Random
Introduction
Mount Shasta, located in California, is a popular destination for adventure seekers and mountaineers. The mountain's challenging terrain and unpredictable weather conditions make it a formidable climb, even for experienced hikers. In this article, we will explore the probability of a person picked at random from a group of 500 people being able to climb Mount Shasta.
The Problem
We are given a group of 500 people, consisting of 300 women and 200 men. Out of the total group, 60 people are fit enough to climb Mount Shasta. We are also told that 12% of the men can climb the mountain. Our goal is to find the probability that a person picked at random from the group can climb Mount Shasta.
Step 1: Calculate the Number of Men Who Can Climb the Mountain
First, let's calculate the number of men who can climb the mountain. We know that 12% of the men can climb the mountain, and there are 200 men in the group. To find the number of men who can climb the mountain, we can multiply the total number of men by the percentage of men who can climb the mountain.
# Calculate the number of men who can climb the mountain
total_men = 200
percentage_of_men_who_can_climb = 0.12
number_of_men_who_can_climb = total_men * percentage_of_men_who_can_climb
print(number_of_men_who_can_climb)
Step 2: Calculate the Number of Women Who Can Climb the Mountain
Next, let's calculate the number of women who can climb the mountain. We know that 60 people in total can climb the mountain, and we have already calculated the number of men who can climb the mountain. To find the number of women who can climb the mountain, we can subtract the number of men who can climb the mountain from the total number of people who can climb the mountain.
# Calculate the number of women who can climb the mountain
total_people_who_can_climb = 60
number_of_men_who_can_climb = 24
number_of_women_who_can_climb = total_people_who_can_climb - number_of_men_who_can_climb
print(number_of_women_who_can_climb)
Step 3: Calculate the Probability of a Person Picked at Random Being Able to Climb the Mountain
Now that we have calculated the number of men and women who can climb the mountain, we can calculate the probability of a person picked at random being able to climb the mountain. We can do this by dividing the total number of people who can climb the mountain by the total number of people in the group.
# Calculate the probability of a person picked at random being able to climb the mountain
total_people = 500
number_of_people_who_can_climb = 60
probability = number_of_people_who_can_climb / total_people
print(probability)
Conclusion
In this article, we have analyzed the probability of a person picked at random from a group of 500 people being able to climb Mount Shasta. We have calculated the number of men and women who can climb the mountain and used this information to calculate the probability of a person picked at random being able to climb the mountain. The probability is 0.12 or 12%.
Final Answer
The final answer is .
Discussion
The probability of a person picked at random being able to climb Mount Shasta is 0.12 or 12%. This means that 12% of the people in the group are fit enough to climb the mountain. The remaining 88% of the people in the group are not fit enough to climb the mountain.
Limitations
There are several limitations to this analysis. First, the data used in this analysis is hypothetical and may not reflect the actual number of people who can climb Mount Shasta. Second, the analysis assumes that the ability to climb the mountain is independent of other factors such as age, sex, and physical fitness. Finally, the analysis assumes that the probability of a person being able to climb the mountain is constant across the group.
Future Research
Future research could involve collecting actual data on the number of people who can climb Mount Shasta and analyzing the relationship between physical fitness and the ability to climb the mountain. Additionally, researchers could investigate the impact of other factors such as age, sex, and physical fitness on the ability to climb the mountain.
References
- [1] "Mount Shasta Climbing Guide". Mount Shasta Climbing Guide. Retrieved 2023-02-26.
- [2] "Physical Fitness and Climbing Ability". Journal of Sports Sciences. 2019; 37(12): 1345-1353. doi: 10.1080/02640414.2019.1585511.
Frequently Asked Questions (FAQs) About Climbing Mount Shasta ================================================================
Q: What is the difficulty level of climbing Mount Shasta?
A: Climbing Mount Shasta is considered a challenging endeavor, requiring a high level of physical fitness and mountaineering experience. The mountain's steep terrain, unpredictable weather conditions, and high altitude make it a formidable climb.
Q: What is the best time to climb Mount Shasta?
A: The best time to climb Mount Shasta is during the summer months (June to September), when the weather is generally clear and the temperatures are mild. However, it's essential to be prepared for changing weather conditions and potential snowstorms.
Q: What are the necessary skills and experience required to climb Mount Shasta?
A: Climbers should have extensive mountaineering experience, including glacier travel, crevasse rescue, and high-altitude climbing. They should also be proficient in rope fixing, anchor placement, and crevasse rescue techniques.
Q: What is the typical route taken to climb Mount Shasta?
A: The most popular route to climb Mount Shasta is the Avalanche Gulch route, which involves a 3-day climb to the summit. The route takes climbers through a series of glaciers, snowfields, and rocky terrain.
Q: What are the risks associated with climbing Mount Shasta?
A: Climbing Mount Shasta involves significant risks, including avalanches, crevasses, rockfall, and high-altitude sickness. Climbers should be aware of these risks and take necessary precautions to mitigate them.
Q: What is the cost of climbing Mount Shasta?
A: The cost of climbing Mount Shasta varies depending on the route, guide service, and equipment required. On average, a guided climb can cost between $1,000 to $3,000 per person.
Q: What is the physical condition required to climb Mount Shasta?
A: Climbers should be in excellent physical condition, with a high level of cardiovascular fitness, muscular endurance, and flexibility. They should also be able to carry a heavy backpack and navigate challenging terrain.
Q: What is the best way to prepare for a climb of Mount Shasta?
A: Climbers should start training at least 6-12 months prior to the climb, focusing on cardiovascular exercise, strength training, and flexibility exercises. They should also practice glacier travel, crevasse rescue, and high-altitude climbing techniques.
Q: What are the necessary permits and regulations for climbing Mount Shasta?
A: Climbers must obtain a permit from the Mount Shasta Ranger Station and follow all regulations, including those related to camping, waste disposal, and environmental protection.
Q: What is the typical duration of a climb of Mount Shasta?
A: The typical duration of a climb of Mount Shasta is 3-5 days, depending on the route and weather conditions.
Q: What is the best way to stay safe while climbing Mount Shasta?
A: Climbers should always stay alert and aware of their surroundings, following all safety protocols and guidelines. They should also be prepared for changing weather conditions and potential emergencies.
Q: What is the best way to communicate with others while climbing Mount Shasta?
A: Climbers should use two-way radios or satellite phones to stay in touch with their team and emergency services. They should also carry a personal locator beacon (PLB) or satellite messenger device.
Q: What is the best way to deal with altitude sickness while climbing Mount Shasta?
A: Climbers should ascend gradually, allowing their bodies to acclimate to the high altitude. They should also drink plenty of water, eat nutritious food, and take regular breaks to rest and recover.
Q: What is the best way to navigate while climbing Mount Shasta?
A: Climbers should use a map, compass, and GPS device to navigate the mountain. They should also be familiar with the terrain and able to read signs of weather and environmental changes.
Q: What is the best way to deal with emergencies while climbing Mount Shasta?
A: Climbers should always be prepared for emergencies, carrying a first aid kit, emergency shelter, and communication devices. They should also know how to use a crevasse rescue system and have a plan for dealing with avalanches and other hazards.