Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 26 Oct 2017 My Price 5.00

independent events

104.   Consider four independent events A1, A2, A3, and A4 and let pi = P(Ai) for i = 1, 2, 3, 4. Express the probability that at least one of these four events oc- curs in terms of the pi s, and do the same for the probability that at least two of the events occur.

105.   A box contains the following four slips of paper, each having exactly the same dimensions: (1) win prize 1; (2) win prize 2; (3) win prize 3; (4) win prizes 1, 2, and 3. One slip will be randomly se- lected. Let A1 = {win prize 1}, A2 = {win prize 2}, and A3 = {win  prize  3}.  Show  that  A1  and A2 are independent, that A1 and A3 are independent, and that A2 and A3 are also independent (this is pairwise independence). However, show that

P(A1  n A2  n A3) -:: P(A1) # P(A2) # P(A3), so the

three events are not mutually independent.

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Maurice Tutor
(5)
Status NEW Posted 26 Oct 2017 02:10 PM My Price 5.00

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