USA snapshot presented a bar graph depicting business travelers’ impression of wait times in airport security lines over the past 12 months. Statistics were derived from Travel Industry Association of American Business Traveler Survey of 2034 respondents. Is this a probability distribution?


Worse – 49%
Same 40%
Better – 11%

I'm confused!!

Although there are only three values, it does indicate probabilities that could be indicated on an axis.

So they are all probability distributions?

No, the data presented in the bar graph is not a probability distribution. A probability distribution is a mathematical function that assigns probabilities to all possible outcomes of an event. In this case, the data represents the impressions of business travelers regarding wait times in airport security lines, which is a subjective opinion and not a probability.

The bar graph is simply a visual representation of the three categories: "Worse," "Same," and "Better," along with the corresponding percentages derived from the Travel Industry Association of American Business Traveler Survey. This graph allows us to see the opinions of the 2034 respondents who took part in the survey.

Each percentage represents the proportion of respondents who provided a particular answer. In this case, 49% of the respondents said wait times were worse, 40% said wait times were the same, and 11% said wait times were better. The graph is used to visualize the distribution of these responses among the survey participants.