Use Bayes' Theorem to Find the Indicated Probability

question 121

Multiple Choice

Use Bayes' theorem to find the indicated probability.
-A company manufacturing electronic components for home entertainment systems buys electrical connectors from three suppliers. It buys 20% of the connectors from supplier A, 33% from supplier B, and 47% from
Supplier C.
It finds that 3% of the connectors from supplier A are defective, 2% of the connectors from supplier B are
Defective, and 5% of the connectors from supplier C are defective.
If a customer buys one of these components and finds that the connector is defective, what is the probability
That it came from supplier B?

• A) 0.183
• B) 0.02
• C) 0.166
• D) 0.224

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Definitions:

Endoderm

Cells of the inner cell mass of the embryo that develop into the digestive system and the lungs.

Ectoderm

Cells of the inner cell mass of the embryo that develop into the outer surface of the skin, the nails, part of the teeth, the lens of the eye, the inner ear, and the central nervous system.

Embryonic Period

The period that extends from the time the organism becomes attached to the uterus until the end of the 8th week of pregnancy, when all the major organs have taken primitive shape.

Cell's Environment

The surrounding conditions and factors that interact with and influence a cell's function and survival.