An important component of your desktop or laptop personal computer (PC) is a mic
ID: 3200561 • Letter: A
Question
An important component of your desktop or laptop personal computer (PC) is a microchip. The table gives the proportions of microchips that a certain PC manufacturer purchases from seven suppliers.
Supplier
Proportion purchased from Supplier
Proportion of defective microchips produced by the supplier
S1
0.15
0.001
S2
0.05
0.0003
S3
0.1
0.0007
S4
0.2
0.006
S5
0.12
0.0002
S6
0.2
0.0002
S7
0.18
0.001
It is known that the proportions of defective microchips produced by the seven suppliers and is supplied in the table as well. IF a single PC microchip failure is observed, which supplier is most likely responsible?
Enter the Supplier (number between 1 and 7) ______
Probability that given the failure is observed, the chip was from the supplier entered above. ______
Supplier
Proportion purchased from Supplier
Proportion of defective microchips produced by the supplier
S1
0.15
0.001
S2
0.05
0.0003
S3
0.1
0.0007
S4
0.2
0.006
S5
0.12
0.0002
S6
0.2
0.0002
S7
0.18
0.001
Explanation / Answer
Ans: IF a single PC microchip failure is observed, supplier 2 is most likely responsible.
Supplier Proportion purchased from Supplier (A) Proportion of defective microchips produced by the supplier (B) A*B S1 0.15 0.001 0.00015 S2 0.05 0.0003 0.000015 S3 0.1 0.0007 0.00007 S4 0.2 0.006 0.0012 S5 0.12 0.0002 0.000024 S6 0.2 0.0002 0.00004 S7 0.18 0.001 0.00018Related Questions
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