ABSTRACT
This chapter discusses concepts in the context of discrete random variables and utilises them to justify equivalent definitions and theorems pertaining to continuous random variables. The definitions and theorems will be given in the bivariate context, but they can be written in general for any number of random variables by substituting corresponding multivariate functions and notation. Commercial kerosene is stocked in a bulk tank at the beginning of each week. Because of limited supplies, the proportion X of the capacity of the tank available for sale and the proportion Y of the capacity of the tank actually sold during the week are continuous random variables. One of the most useful functions of a single continuous random variable is the cumulative distribution function itself. Engineers responsible for the design and maintenance of aircraft pavements traditionally use pavement-quality concrete. A study was conducted at Luton Airport to assess the suitability of concrete blocks as a surface for aircraft pavements.
