It expresses the schaum series probability and statistics pdf probability of an outcome which can be realized via several distinct events—hence the name. The law of total probability can also be stated for conditional probabilities. What is the chance that a purchased bulb will work for longer than 5000 hours?

Thus each purchased light bulb has a 97. One author even uses the terminology “continuous law of alternatives” in the continuous case. Oxford Science Publications, 1986, Theorem 1B. Schiller, Seymour Lipschutz, and R. Hill Professional, 2005, page 116.

This page was last edited on 30 October 2017, at 07:27. This article is about the mathematical concept. For example, the population mean height is equal to the sum of the heights of every individual divided by the total number of individuals. The sample mean may differ from the population mean, especially for small samples. Equality holds if and only if all the elements of the given sample are equal. Geometric visualisation of the mode, median and mean of an arbitrary probability density function.