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In a certain factory, Machine A makes 50% of the components, with 1 in 15 being...

In a certain factory, Machine A makes 50% of the components, with 1 in 15 being defective. Machine B produces 25%, with 1 in 10 being defective. Machine C produces the rest, with 1 in 20 being defective.

(a) Complete the probability table for this scenario using the given template.

(b) What is the probability that a defective component is produced?

(c) If a component is selected at random and found to be defective, what is the probability it was made by Machine A?

Math   Statistics-And-Probability   
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Answer #1

a)

Defective Not Defective Total
Machine A 0.5
Machine B 0.25
Machine C 0.25
Total 0.0708 0.9292

b)  the probability that a defective component is produced = 0.0708

c) If a component is selected at random and found to be defective, the probability it was made by Machine-A is a conditional probability =

The probability that the item is from Machine A given it is defective =

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