4) Suppose a company manufactures components for electronic devices. In the manufacturing process, if an unacceptable level of defects occurs, an engineer must decide how to correct the problem. The engineer can order the three minor adjustments listed below to try to fix the problem where each is listed with the probability that it is the cause of the defects: • motherboard adjustment (25%) memory adjustment (35%) case adjustment (40%). Suppose that upon further investigation, the engineer has determined the following conditional probabilities: P(Fixed Case) = 0.80, P(Fixed | Memory) = 0.50, and P(Fixed | Motherboard) = 0.10. That is, the probability that a simple case adjustment will correct the problem is 0.80, and so on. a) Draw the probability tree for this question. b) What is the probability that a minor adjustment will correct the problem?

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4) Suppose a company manufactures components for electronic devices. In the manufacturing
process, if an unacceptable level of defects occurs, an engineer must decide how to correct
the problem. The engineer can order the three minor adjustments listed below to try to fix the
problem where each is listed with the probability that it is the cause of the defects:
motherboard adjustment (25%)
● memory adjustment (35%)
●
case adjustment (40%).
Suppose that upon further investigation, the engineer has determined the following conditional
probabilities:
P(Fixed | Case) = 0.80,
P(Fixed | Memory) = 0.50, and
P(Fixed | Motherboard) = 0.10.
That is, the probability that a simple case adjustment will correct the problem is 0.80, and so on.
a) Draw the probability tree for this question.
b) What is the probability that a minor adjustment will correct the problem?
Transcribed Image Text:4) Suppose a company manufactures components for electronic devices. In the manufacturing process, if an unacceptable level of defects occurs, an engineer must decide how to correct the problem. The engineer can order the three minor adjustments listed below to try to fix the problem where each is listed with the probability that it is the cause of the defects: motherboard adjustment (25%) ● memory adjustment (35%) ● case adjustment (40%). Suppose that upon further investigation, the engineer has determined the following conditional probabilities: P(Fixed | Case) = 0.80, P(Fixed | Memory) = 0.50, and P(Fixed | Motherboard) = 0.10. That is, the probability that a simple case adjustment will correct the problem is 0.80, and so on. a) Draw the probability tree for this question. b) What is the probability that a minor adjustment will correct the problem?
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