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A probability distribution describes how the probabilities are distributed over the values of a random variable. In this context, it represents the likelihood of each age occurring among the students in the orientation course. The distribution can be visualized using a histogram, where the x-axis represents the ages and the y-axis represents the frequency of students at each age.

A histogram is a graphical representation of the distribution of numerical data, where data is grouped into bins or intervals. Each bar's height corresponds to the frequency of data points within that interval. In this case, the histogram will display the ages of students on the x-axis and the number of students on the y-axis, allowing for a visual interpretation of the age distribution.

The shape of a distribution refers to the visual appearance of the histogram, which can indicate patterns such as symmetry, skewness, or modality. For example, a bell-shaped curve suggests a normal distribution, while a right or left skew indicates that more data points are concentrated on one side. Analyzing the shape helps in understanding the underlying characteristics of the data, such as age trends among students.