[Steps Shown] The school of Science and Engineering at a local university regularly purchases a particular type of electrical component. 60% are purchased
Question: The school of Science and Engineering at a local university regularly purchases a particular type of electrical component. 60% are purchased from company A, and 40 % are from Company B. 2% of those supplied by company A and 1% of those supplied by Company B are known to be defective. The components are identical and thoroughly mixed on receipt.
- Draw a tree diagram to represent the possible outcomes when a single component is selected at random.
- A component is selected at random.
- What is the probability that this component was supplied by company A and was defective?
- Calculate the probability that the component was defective.
- Given that the component was defective, what is the probability that it was supplied by company A?
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