Question 4. After assembling an order for 12 computer systems, the assembler noticed that an electronic component that was to have been installed was left over. The assembler then checked the 12 systems in order to find the system missing the component. Assume that he checks them in a random order. (a) What is the probability that the first system the assembler checks is the system that is missing the component? (b) What is the probability that the second system the assembler checks is missing the component, assuming that the first system he checked was OK? (c) Explain why the answers to parts (a) and (b) are different.

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Question 4.
After assembling an order for 12 computer systems, the assembler noticed that an
electronic component that was to have been installed was left over. The assembler
then checked the 12 systems in order to find the system missing the component.
Assume that he checks them in a random order.
(a) What is the probability that the first system the assembler checks is the system
that is missing the component?
(b) What is the probability that the second system the assembler checks is missing
the component, assuming that the first system he checked was OK?
(c) Explain why the answers to parts (a) and (b) are different.
Transcribed Image Text:Question 4. After assembling an order for 12 computer systems, the assembler noticed that an electronic component that was to have been installed was left over. The assembler then checked the 12 systems in order to find the system missing the component. Assume that he checks them in a random order. (a) What is the probability that the first system the assembler checks is the system that is missing the component? (b) What is the probability that the second system the assembler checks is missing the component, assuming that the first system he checked was OK? (c) Explain why the answers to parts (a) and (b) are different.
Expert Solution
Step 1

Total 12 computers. 

He checked in random order

1 missing component system

Probability= favorable/ total

steps

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Solved in 4 steps

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