Use Bayes' Rule to Find the Indicated Probability

question 56

Multiple Choice

Use Bayes' rule to find the indicated probability.
-Two shipments of components were received by a factory and stored in two separate bins.Shipment I has 2% of its contents defective,while shipment II has 5% of its contents defective.If it is equally likely an employee will go to either bin and select a component randomly,what is the probability that a defective component came from shipment II?

• A)0.5
• B)0.333
• C)0.714
• D)0.25

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Definitions:

Cerebral Palsy

A condition affecting body movement and muscle coordination, stemming from a stable brain injury or malformation that happens as the child's brain is being developed.

Hydrocephalus

Buildup of fluid pressure in the brain and, in infants, swelling of the head, if the flow of cerebrospinal fluid (CSF) is blocked; can result in intellectual impairment.

Prenatal Infections

Infections acquired by the fetus while in the womb, which can lead to various developmental issues or birth defects.

Laterally Located

Positioned on the side or sides of a body or structure.