Statistics Homework Solutions
Problem
#4826

Decision making with probabilities

Dollar Department Stores has received an offer from Harris Diamonds to purchase Dollar’s store on Grove Street for $120,000.  Dollar has determined probability estimates of the store's future profitability, based on economic outcomes, as: P($80,000) = .2, P($100,000) = .3, P($120,000) = .1, and P($140,000) = .4.

a.Should Dollar sell the store on Grove Street?
b. What is the EVPI?
c . Dollar can have an economic forecast performed, costing $10,000, that produces indicators I1 and I2, for which P(I1*80,000) = .1;  P(I1*100,000) = .2;  P(I1*120,000) = .6;  P(I1*140,000) = .3.  Should Dollar purchase the forecast?

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Expected value approach.doc
PLEASE PROVIDE COMPLETE ANSWER WITH DETAILED ANALYSIS

Dollar Department Stores has received an offer from Harris Diamonds to
purchase Dollar’s store on Grove Street for $120,000. Dollar has
determined probability estimates of the store's future profitability,
based on economic outcomes, as: P($80,000) = .2, P($100,000) = .3,
P($120,000) = .1, and P($140,000) = .4.

a. Should Dollar sell the store on Grove Street?

Yes, Dollar should sell store.

What is the EVPI?

EVPI = $8,000

c. Dollar can have an economic forecast performed, costing $10,000, that
produces indicators I1 and I2, for which P(I1 SYMBOL 189 \f "Symbol"
80,000) = .1; P(I1 SYMBOL 189 \f "Symbol" 100,000) = .2; P(I1 SYMBOL
189 \f "Symbol" 120,000) = .6; P(I1 SYMBOL 189 \f "Symbol" 140,000) =
.3. Should Dollar purchase the forecast?

No; survey cost exceeds EVPI.

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