Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

MicroProducts, Incorporated (MPI) manufactures printed dircuit boards for a majo

ID: 3198779 • Letter: M

Question

MicroProducts, Incorporated (MPI) manufactures printed dircuit boards for a major PC manufacturer. Before a board is sent to the customer, three key components must be tested. These components can table, along with the probability of each component failing the test: be tested in any order. If any of the components fail, the entire board must be scrapped. The costs of testing the three components are provided in the following Cost of Test $1.75 2.00 $2.-40 Probability of Failure 0.125 0.075 0.140 Create a dedsion tree for this problem that could be used to determine the order in which order should the components be tested which the components should be tested to minimize the expected cost of performing the tests b. What is the expected cost of performing the tests in this sequence? Round your answer to two decimal digits

Explanation / Answer

The decision tree classifier is trained based on descending order of probalibilties failure.

So, the order is Z,X,Y

In descending order of probability.

b.2.40*0.140+2.00*0.075+1.75*0.125=0.70