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A person moving through a tuberculosis prone zone has a 50% probability of becoming infected.However, only 30% of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease?
- a)15
- b)33
- c)35
- d)37
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A person moving through a tuberculosis prone zone has a 50% probabilit...
To solve this problem, we need to calculate the percentage of people who remain infected but do not show symptoms of tuberculosis.
Let's assume that 100 people are moving through the tuberculosis prone zone.
1. Calculate the number of people who become infected:
Out of the 100 people, there is a 50% probability of becoming infected. So, 50 people become infected.
2. Calculate the number of infected people who develop the disease:
Out of the 50 infected people, only 30% develop the disease. So, 30% of 50 is (30/100) * 50 = 15 people develop the disease.
3. Calculate the number of infected people who do not develop the disease:
The remaining infected people who do not develop the disease can be calculated by subtracting the number of people who develop the disease from the total number of infected people.
So, the number of infected people who do not develop the disease is 50 - 15 = 35 people.
4. Calculate the percentage of people who remain infected but do not show symptoms:
To find the percentage, we divide the number of infected people who do not develop the disease by the total number of people and multiply by 100.
Therefore, the percentage is (35/100) * 100 = 35%.
Hence, the correct answer is option C) 35%.
Let's assume that 100 people are moving through the tuberculosis prone zone.
1. Calculate the number of people who become infected:
Out of the 100 people, there is a 50% probability of becoming infected. So, 50 people become infected.
2. Calculate the number of infected people who develop the disease:
Out of the 50 infected people, only 30% develop the disease. So, 30% of 50 is (30/100) * 50 = 15 people develop the disease.
3. Calculate the number of infected people who do not develop the disease:
The remaining infected people who do not develop the disease can be calculated by subtracting the number of people who develop the disease from the total number of infected people.
So, the number of infected people who do not develop the disease is 50 - 15 = 35 people.
4. Calculate the percentage of people who remain infected but do not show symptoms:
To find the percentage, we divide the number of infected people who do not develop the disease by the total number of people and multiply by 100.
Therefore, the percentage is (35/100) * 100 = 35%.
Hence, the correct answer is option C) 35%.
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Community Answer
A person moving through a tuberculosis prone zone has a 50% probabilit...
Probability of being infected = 0.5
Probability of developing disease = 0.3
Only when a person develops disease he will show symptoms of it and whenever a disease is developed we can expect symptoms to be shown.
So, Probability of not showing symptoms = 1 − 0.3 = 0.7
Probability of being infected and not showing any symptoms = 0.5 × 0.7 = 0.35
(or)
P(infected) = 0.5,
P(No.of disease / Infected) = 0.7 × 0.5 = 0.35
Probability of developing disease = 0.3
Only when a person develops disease he will show symptoms of it and whenever a disease is developed we can expect symptoms to be shown.
So, Probability of not showing symptoms = 1 − 0.3 = 0.7
Probability of being infected and not showing any symptoms = 0.5 × 0.7 = 0.35
(or)
P(infected) = 0.5,
P(No.of disease / Infected) = 0.7 × 0.5 = 0.35
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A person moving through a tuberculosis prone zone has a 50% probability of becoming infected.However, only 30% of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease?a)15b)33c)35d)37Correct answer is option 'C'. Can you explain this answer?
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