An assembler of computer routers and modems uses parts from two sources. Company A supplies 80% of the parts, and Company B supplies the remaining 20% of parts. From past experience, the assembler knows that 5% of the parts supplied by Company A are defective, and 3% of the parts supplied by Company B are defective. An assembled modem selected at random is found to have a defective part. What is the probability that the part came from Company A? Company B? (adapted from [Mendenhall and Sincich 2016], exercise 3.94).

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Chapter1: Combinatorial Analysis
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Problem 10
An assembler of computer routers and modems uses parts from two sources. Company A
supplies 80% of the parts, and Company B supplies the remaining 20% of parts. From past
experience, the assembler knows that 5% of the parts supplied by Company A are defective,
and 3% of the parts supplied by Company B are defective. An assembled modem selected at
random is found to have a defective part. What is the probability that the part came from
Company A? Company B? (adapted from [Mendenhall and Sincich 2016], exercise 3.94).
Transcribed Image Text:Problem 10 An assembler of computer routers and modems uses parts from two sources. Company A supplies 80% of the parts, and Company B supplies the remaining 20% of parts. From past experience, the assembler knows that 5% of the parts supplied by Company A are defective, and 3% of the parts supplied by Company B are defective. An assembled modem selected at random is found to have a defective part. What is the probability that the part came from Company A? Company B? (adapted from [Mendenhall and Sincich 2016], exercise 3.94).
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