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A company named MicroPower assembles kitchen microwave ovens. Some of the parts they use are manufactured by other companies and then shipped to a MicroPower

A company named MicroPower assembles kitchen microwave ovens. Some of the parts they use are manufactured by other companies and then shipped to a MicroPower factory. For a certain model of microwave oven, they purchase door handles from two separate suppliers. In total, they obtain 20% of their door handles from Supplier A and 80% from Supplier B.

For a variety of reasons, some of the door handles arrive at MicroPower's factory with defects. Door handles from Supplier A are defective 2% of the time, and door handles from Supplier B are defective 3.5% of the time. Unfortunately, the defects are not usually discovered until a customer has been using the microwave oven for a little while.

Using this information, answer the following questions.

  1. One microwave oven is selected at random. What is the probability that it has a door handle from Supplier A?

  1. Given that a microwave oven has a door handle from Supplier A, what is the probability that the handle is defective?

  1. One microwave oven is selected at random. What is the probability that it has a door handle from Supplier A and the handle is defective?

  1. One microwave oven is selected at random. What is the probability that it has a defective door handle?

One microwave oven is selected at random. What is the probability that it has a door handle that is not defective?

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