Continuous Random Variable

A random variable is said to be continuous if its possible values form an interval of real numbers rather than a countable list. Such a variable has uncountably infinitely many possible values packed into that interval. Typical continuous random variables are the height of a tree in a forest, the weight of a student in a class, the daily temperature of a city, or the speed of a moving vehicle. What distinguishes these from the discrete examples of section 7.2.1 is how the value is obtained: a continuous random variable's value comes from measurement, and that measurement can, in principle, be refined to any desired level of accuracy — r …