Is a probability distribution function (displayed with bins) effectively a histogram that has been normalized so that the bins sum to 1?
Say in the case of a dataset of 10,000 particles (each with a temperature, pressure and density value) with which you wish to display a distribution of pressures for a given temperature interval. What would be the advantage of displaying bins with pressure on the horizontal axis and probability on the vertical axis as opposed to counts in the form of a histogram?