5) A payoff table is given as s1 s2 s3 d1 250 750 500 d2 300 -250 1200 d3 500 500 600 (a) What choice should be made by the optimistic decision maker? (b) What choice should be made by the conservative decision maker? (c) What decision should be made under minimax regret? (d) If the probabilities of d1, d2, and d3 are .2, .5, and .3, respectively, then what choice should be made under expected value?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 42E
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5) A payoff table is given as

s1 s2 s3
d1 250 750 500
d2 300 -250 1200
d3 500 500 600

(a) What choice should be made by the optimistic decision maker?
(b) What choice should be made by the conservative decision maker?
(c) What decision should be made under minimax regret?
(d) If the probabilities of d1, d2, and d3 are .2, .5, and .3, respectively, then what choice should be made under expected value?

5) A payoff table is given as
S1
S2
S3
di
250
750
500
d2
300
-250
1200
d3
500
500
600
(a)
(b)
(c)
What choice should be made by the optimistic decision maker?
What choice should be made by the conservative decision maker?
What decision should be made under minimax regret?
If the probabilities of d1, d2, and d3 are .2, .5, and.3, respectively, then
what choice should be made under expected value?
(d)
Transcribed Image Text:5) A payoff table is given as S1 S2 S3 di 250 750 500 d2 300 -250 1200 d3 500 500 600 (a) (b) (c) What choice should be made by the optimistic decision maker? What choice should be made by the conservative decision maker? What decision should be made under minimax regret? If the probabilities of d1, d2, and d3 are .2, .5, and.3, respectively, then what choice should be made under expected value? (d)
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