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%
No, this is not a probability distribution. A probability distribution is a statistical function that describes the likelihood of different outcomes occurring. In a probability distribution, the sum of all probabilities for all possible outcomes must equal 1.
In the given bar graph, the different categories (Worse, Same, Better) represent different responses from the business travelers regarding their impressions of wait times in airport security lines. Each category represents a specific percentage of respondents. However, this information does not provide the probabilities of these outcomes occurring.
To determine if this data could be converted into a probability distribution, we would need additional information, such as the total number of respondents who participated in the survey and the specific probabilities associated with each category.