Your car is making a funny noise. You believe that the problem is either with the wheel or the axle, and you believe the probability is 0.3 that the wheel needs to be replaced, and 0.7 that the axle needs to be replaced. You need to decide whether to replace the wheel or the axle first. The cost of each ilternative is given in the following table (if you decided to replace the wrong part first, you have to eplace both of them). The Axle is broken _p = 0.7 1500 900 The Wheel is broken p = 0.3 600 Replace Wheel First Replace Axle First 1500 a) Find the EV of each decision alternative. Which part should you replace first? b) What is the EVPI?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Your car is making a funny noise. You believe that the problem is either with the wheel or the axle,
and you believe the probability is 0.3 that the wheel needs to be replaced, and 0.7 that the axle needs to
be replaced. You need to decide whether to replace the wheel or the axle first. The cost of each
alternative is given in the following table (if you decided to replace the wrong part first, you have to
replace both of them).
The Wheel is broken
p = 0.3
The Axle is broken
p = 0.7
Replace Wheel First
Replace Axle First
600
1500
1500
900
a) Find the EV of each decision alternative. Which part should you replace first?
b) What is the EVPI?
Transcribed Image Text:Your car is making a funny noise. You believe that the problem is either with the wheel or the axle, and you believe the probability is 0.3 that the wheel needs to be replaced, and 0.7 that the axle needs to be replaced. You need to decide whether to replace the wheel or the axle first. The cost of each alternative is given in the following table (if you decided to replace the wrong part first, you have to replace both of them). The Wheel is broken p = 0.3 The Axle is broken p = 0.7 Replace Wheel First Replace Axle First 600 1500 1500 900 a) Find the EV of each decision alternative. Which part should you replace first? b) What is the EVPI?
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