A random experiment has seven outcomes with probab

A random experiment has seven outcomes with probabilities 1／3，1／3，1／9，1／9，1／27，1／27，1／27．The experiment is to be performed once and the outcome transmitted across the country．The telegraph company provides two services．Service 1 transmits binary digits at $2．00 per digit．Service 2 transmits ternary digits at $3．25 per digit．You are to select a service and design a code to minimize expected cost． (1)Which service should be selected? (2)What code should be used? (3)What iS the expected cost? (4)If the ternary cost is changed，at what value of new cost would be change your mind? (5)Suppose the experiment is to be repeated a large number of times．How do the above answers change?
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