Which graph represents a uniform probability distribution?
Responses
A graph A onlygraph A only
B graph C onlygraph C only
C graph B onlygraph B only
D graph A, B, and C
B graph C onlygraph C only
The correct answer is A - graph A only.
To determine which graph represents a uniform probability distribution, we need to understand what a uniform probability distribution means. A uniform probability distribution occurs when all outcomes are equally likely to occur.
Let's analyze each graph to determine if it represents a uniform probability distribution:
Graph A: In this graph, the values are evenly spread out along the x-axis, and the height of each bar is constant. This indicates that all outcomes are equally likely to occur. Therefore, graph A represents a uniform probability distribution.
Graph B: In this graph, the values are not evenly spread out along the x-axis. The bar heights are different from each other, which means that some outcomes are more likely to occur than others. Hence, graph B does not represent a uniform probability distribution.
Graph C: In this graph, the values are also not evenly spread out along the x-axis. The bar heights vary, indicating that some outcomes are more likely to occur than others. Therefore, graph C does not represent a uniform probability distribution.
Based on the analysis, only Graph A represents a uniform probability distribution. So, the correct answer is:
A) graph A only.