Mean of the Probability Distribution of Departures

Statistics has the most interesting solutions for the problems in several fields due to its universality. Several new
distributions have been developed by taking some subtle transformations on the existing distributions. This
paper is continuous work to the previous one [1] which is briefed here. The Random variable of interest is to
“how likely there are successive departures in a particular interval” [2-18]. Instead of asking “how many
departures take place in a particular time interval (Poisson)”, we ask for “how likely there are successive
departures in a particular interval”. Since X is continuous, the PDF should be a function. We had made some
inferences about this unknown function. This means the probability distribution that takes into account of
measurements those we have surveyed for a considerable period of time. So the output of the inference problem
is the distributions of X. We charted the histograms for successive arrivals in a particular interval from which
we found the density curves