Exercise

Factories and parts

A certain electronic part is manufactured by three different vendors named V1, V2, and V3.

Half of the parts are produced by V1, 25% by V2, and the rest by V3. The probability of a part being damaged given that it was produced by V1 is 1%, while it's 2% for V2 and 3% for V3.

If a part taken at random is damaged, answer the following questions.

Instructions 1/3

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  • 1

    What is the probability that the part was manufactured by V1?

  • 2

    What is the probability that it was manufactured by V2?

  • 3

    What is the probability that the part was manufactured by V3?