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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
(a) Show that a discrete probability space (see Example 2.8 for the formal definition) cannot contain an infinite sequence A1, A2,…..of independent events each of probability ½. Since An could be identified with heads on the nth toss of a coin, the existence of such a sequence would make this section superftuous.
(b) Suppose that 0 n, 1 - p, } . Show that, if
diverges, then no discrete probability space can contain independent events A1, A2 , …. such that An has probability Pn.
Â
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