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The sample space of an experiment is S={1, 2, 3, 4, 5}. If each outcome is equally likely to occur, which graph models the expe...Asked by lalala
The sample space of an experiment is S={1, 2, 3, 4, 5}
. If each outcome is equally likely to occur, which graph models the expected probability of each outcome?(1 point)
Responses
1.A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 6 in increments of 1.
Image with alt text: A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 6 in increments of 1.
2.A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 2.5 in increments of 0.5.
Image with alt text: A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 2.5 in increments of 0.5.
3.A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 0.25 in increments of 0.05.
Image with alt text: A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 0.25 in increments of 0.05.
4.A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 0.12 in increments of 0.02.
. If each outcome is equally likely to occur, which graph models the expected probability of each outcome?(1 point)
Responses
1.A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 6 in increments of 1.
Image with alt text: A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 6 in increments of 1.
2.A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 2.5 in increments of 0.5.
Image with alt text: A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 2.5 in increments of 0.5.
3.A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 0.25 in increments of 0.05.
Image with alt text: A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 0.25 in increments of 0.05.
4.A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 0.12 in increments of 0.02.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine which graph accurately represents the expected probability of each outcome from the sample space \( S = \{1, 2, 3, 4, 5\} \), we need to calculate the probability for each outcome.
Since each outcome is equally likely, the probability of each outcome is given by:
\[
P(X) = \frac{1}{\text{number of outcomes}} = \frac{1}{5} = 0.2
\]
Now, we need to evaluate the options based on this probability:
1. **First Option**: The y-axis ranges from 0 to 6. This range is not suitable because the probabilities cannot exceed 1.
2. **Second Option**: The y-axis ranges from 0 to 2.5. Again, this range is too high for probabilities.
3. **Third Option**: The y-axis ranges from 0 to 0.25 (in increments of 0.05). Since \( 0.2 \) is within this range, this option could be correct.
4. **Fourth Option**: The y-axis ranges from 0 to 0.12. This range is too low for the probability of 0.2.
The correct graph that models the expected probability of each outcome from the set \( S = \{1, 2, 3, 4, 5\} \) would be the **third option**, as it adequately represents probabilities around the value of 0.2.
Since each outcome is equally likely, the probability of each outcome is given by:
\[
P(X) = \frac{1}{\text{number of outcomes}} = \frac{1}{5} = 0.2
\]
Now, we need to evaluate the options based on this probability:
1. **First Option**: The y-axis ranges from 0 to 6. This range is not suitable because the probabilities cannot exceed 1.
2. **Second Option**: The y-axis ranges from 0 to 2.5. Again, this range is too high for probabilities.
3. **Third Option**: The y-axis ranges from 0 to 0.25 (in increments of 0.05). Since \( 0.2 \) is within this range, this option could be correct.
4. **Fourth Option**: The y-axis ranges from 0 to 0.12. This range is too low for the probability of 0.2.
The correct graph that models the expected probability of each outcome from the set \( S = \{1, 2, 3, 4, 5\} \) would be the **third option**, as it adequately represents probabilities around the value of 0.2.
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