The school of science, engineering and design at a local university regularly purchases a particular type of electrical component. 60% are purchased from company A, and 40% are purchased from company B. 5% 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 upon receipt. A component is selected at random. Give answers below as decimals rounded to 3 decimal places.
a) What is the probablility that this component was supplied by company B and was defective?
b) Calculate the probability that the component was defective.
c) Given that the component was defective, what is the probablity that it was supplied by company B?
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