Answer :
To find the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day, we need to focus on the relevant data from the table.
Here's a step-by-step method to solve the problem:
1. Identify the desired condition: We are given that the person consumes 2,000 to 2,500 calories per day.
2. Find the total number of people who consume 2,000 to 2,500 calories per day: According to the table, a total of 110 people consume between 2,000 to 2,500 calories.
3. Determine the number of people who weigh 120 pounds within this group: Out of those who consume 2,000 to 2,500 calories, 10 people weigh 120 pounds.
4. Calculate the probability: Probability is defined as the number of favorable outcomes divided by the total number of possible outcomes. In this case, the probability is:
[tex]\[
\text{Probability} = \frac{\text{Number of 120-pound people consuming 2,000 to 2,500 calories}}{\text{Total number of people consuming 2,000 to 2,500 calories}}
\][/tex]
Plugging in the values we have:
[tex]\[
\text{Probability} = \frac{10}{110} \approx 0.0909
\][/tex]
So, the probability that a person weighs 120 pounds given that they consume 2,000 to 2,500 calories per day is approximately 0.09 or 9%. Hence, the correct answer is:
A. 0.09
Here's a step-by-step method to solve the problem:
1. Identify the desired condition: We are given that the person consumes 2,000 to 2,500 calories per day.
2. Find the total number of people who consume 2,000 to 2,500 calories per day: According to the table, a total of 110 people consume between 2,000 to 2,500 calories.
3. Determine the number of people who weigh 120 pounds within this group: Out of those who consume 2,000 to 2,500 calories, 10 people weigh 120 pounds.
4. Calculate the probability: Probability is defined as the number of favorable outcomes divided by the total number of possible outcomes. In this case, the probability is:
[tex]\[
\text{Probability} = \frac{\text{Number of 120-pound people consuming 2,000 to 2,500 calories}}{\text{Total number of people consuming 2,000 to 2,500 calories}}
\][/tex]
Plugging in the values we have:
[tex]\[
\text{Probability} = \frac{10}{110} \approx 0.0909
\][/tex]
So, the probability that a person weighs 120 pounds given that they consume 2,000 to 2,500 calories per day is approximately 0.09 or 9%. Hence, the correct answer is:
A. 0.09
