Given the following payoff table, use graphical sensitivity analysis to determine the range of values of the probability of state of nature s1 over which each of the decision alternatives has its largest expected value. Decision S1 S2 A -4 20 B 4 16 C 8 2 What is the expected value of decision C in term of p? EV(C)= 8 P EV(C)= 2 – 6 P EV(C)= – 6 P EV(C)= 8 + 2 P
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First, we need to calculate the expected value of each decision alternative for any given value of p. We can do this by multiplying the payoff for each state of nature by its probability and summing the results. For example, the expected value of decision A Show more…
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