Probability mass function: Difference between revisions

Revision as of 13:12, 8 October 2020

Revision as of 06:37, 10 December 2020

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for <math>-\infin < x < \infin</math>,<ref name=":0" /> where <math>P</math> is a [[probability measure]]. <math>p_X(x)</math> can also be simplified as <math>p(x)</math>.<ref>{{Cite book|title=Engineering optimization : theory and practice|last=Rao, Singiresu S., 1944-|date=1996|publisher=Wiley|isbn=0-471-55034-5|edition=3rd|___location=New York|oclc=62080932}}</ref>

The probabilities associated with eachall possible values must be positive and sum up to 1. For all other values, the probabilities need to be 0.

:<math>\sum p_X(x_i) = 1</math>