Question

A decision maker who is considered to be a risk taker is faced with this set of probabilities State of Nature Decision s1 s2 s3 d1 5 10 20 d2 -25 0 50 d3 -50 -10 80 Probability .30 .35 .35 Rank the decision alternatives on the basis of expected value. Select one: a. d1, d3, d2 b. d3, d1, d2 c. d2, d3, d1 d. d1, d2, d3

          A decision maker who is considered to be a risk taker is faced with this set of probabilities

State of Nature
Decision s1 s2 s3
d1 5 10 20
d2 -25 0 50
d3 -50 -10 80
Probability .30 .35 .35

Rank the decision alternatives on the basis of expected value.

Select one:
a. d1, d3, d2
b. d3, d1, d2
c. d2, d3, d1
d. d1, d2, d3
        
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A decision maker who is considered to be a risk taker is faced with this set of probabilities

State of Nature
Decision s1 s2 s3
d1 5 10 20
d2 -25 0 50
d3 -50 -10 80
Probability .30 .35 .35

Rank the decision alternatives on the basis of expected value.

Select one:
a. d1, d3, d2
b. d3, d1, d2
c. d2, d3, d1
d. d1, d2, d3

Added by Linda C.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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A decision maker who is considered to be a risk taker is faced with this set of probabilities. Rank the decision alternatives on the basis of expected value. Select one: a. d1, d3, d2 b. d3, d1, d2 c. d2, d3, d1 d. d1, d2, d3
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The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature. Decision Alternative States of Nature s1 s2 s3 d1 270 120 45 d2 120 120 95 Suppose that the decision maker obtained the probabilities P(s1) = 0.65, P(s2) = 0.15, and P(s3) = 0.20. Use the expected value approach to determine the optimal decision. EV(d1)= (need answer here) EV(d2)= (need answer here) The optimal decision is ? (d₁( or (d₂) .

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Transcript

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00:01 We have to find the expected value of d1, which is 5 times 0 .3 plus 10 times 0 .35, plus 20 times 0 .35, which is equal to 12.
00:13 Then expected value of d2 is equal to minus 25 times 0 .3 plus 0 times 0 .35 plus 50 times 0 .35, which is equal to 10.
00:28 And the expected value of d3 is equal to minus 50 times 0 .3 plus minus 10 times 0 .35 plus 30 times 0 .35 which is equal to 9 .5...
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