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Two Stores Sell a Certain Product

question 137

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Two stores sell a certain product. Store A has 39% of the sales, 5% of which are of defective items, and store Bhas 61% of the sales, 3% of which are of defective items. The difference in defective rates is due to differentlevels of pre-sale checking of the product. A person receives one of this product as a gift. What is theprobability it is defective? Round to the nearest thousandth when necessary.


Definitions:

Factitious Disorder

A disorder in which a person feigns or induces symptoms, typically for the purpose of assuming the role of a sick person.

Illness Anxiety Disorder

A disorder in which people are chronically anxious about and preoccupied with the notion that they have or are developing a serious medical illness, despite the absence of somatic symptoms. Previously known as hypochondriasis.

Psychophysiological Disorders

Health problems that are influenced or exacerbated by psychological factors such as stress, anxiety, or emotional distress.

Falling Asleep

The transition from wakefulness to sleep, a natural part of the human sleep cycle.

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