5 The following decision tree describes a decision problem involving two alternative decisions D= {d1, d2} and three states of the environment X = {x1, x2, x3}. Several numbers are omitted but the EMV for the tree is known to be 113 (where the objective is to maximise the utility). 120 X2 0.4 100 di a X3 4 113 150 X2 0.4 80 100 X3 4 40 (a) Determine the values of a, p, q, b. (b) Draw the 'flipped' tree for this problem and calculate EMV(perfect). (c) Calculate the EVPI.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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5 The following decision tree describes a decision problem involving two alternative decisions
{d1, d2} and three states of the environment X
but the EMV for the tree is known to be 113 (where the objective is to maximise the utility).
: {x1, x2, x3}. Several numbers are omitted
D =
120
X2 0.4
100
x3 4
P
150
113
dz
X2 0.4
80
100
X3 q
40
(a) Determine the values of a, p, q, b.
(b) Draw the 'flipped' tree for this problem and calculate EMV(perfect).
(c) Calculate the EVPI.
Transcribed Image Text:5 The following decision tree describes a decision problem involving two alternative decisions {d1, d2} and three states of the environment X but the EMV for the tree is known to be 113 (where the objective is to maximise the utility). : {x1, x2, x3}. Several numbers are omitted D = 120 X2 0.4 100 x3 4 P 150 113 dz X2 0.4 80 100 X3 q 40 (a) Determine the values of a, p, q, b. (b) Draw the 'flipped' tree for this problem and calculate EMV(perfect). (c) Calculate the EVPI.
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