By your definition, distribution is a function that shows possible values for a variable and how often they occur. Isn’t that what we did in the frequency distribution table? How does it differ from probability distribution?
Great to have you in the course and thanks for reaching out.
Let me give you some similarity and difference of a frequency distribution and probability distribution.
A frequency distribution has columns “classes” and “frequency” while probability distribution has values of random variables together with their probabilities which sums to 1.
A frequency distribution can be constructed from a categorical data like gender. We can get the frequency of males and females in a group.
On the other hand, the random variable is always quantitative or numeric. When we have numeric data, we can get the mean of both distributions.
Hope this helps.
The 365 Team