Statıstıcs Iı Deneme Sınavı Sorusu #1072389

For a company, 3 different states of nature are given as S1, S2 and S3 with possibilities 0.4, 0.5 and 0.1 respectively. The alternative actions on the other hand are given as A1, A2, and A3. What will be the best action provides the highest expected payoff and what will be the expected payoff given that action is taken; if the payoff matrix is given as:


A1, with expected pay off=44

A2, with expected pay-off=67

A2, with expected pay-off=57

A3, with expected pay-off=70

A3, with expected pay-off=57


Yanıt Açıklaması:

Action A2 gives the maximum expected pay off which is equal to 60*0.4+70*0.5+80*0.1=67. The expected pay offs of A1 and A3 are 44 and 57 respectively.

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