In 2012, researchers working with a very large population of health records found that 9.3% of all Americans had diabetes (source: National Diabetes Statistics Report, 2014). Suppose a medical researcher randomly selects two individuals from a large population. Let A represent the event "the first individual has diabetes." Let B represent the event "the second individual has diabetes." True or false? A and B are independent events.

Question

Mathematics

Fancy

2 June, 03:07

In 2012, researchers working with a very large population of health records found that 9.3% of all Americans had diabetes (source: National Diabetes Statistics Report, 2014). Suppose a medical researcher randomly selects two individuals from a large population. Let A represent the event "the first individual has diabetes." Let B represent the event "the second individual has diabetes." True or false? A and B are independent events.

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Answers (1)

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Marlene Ho · Answer 1

True

Explanation

The event is a a patient being diabetic.

Independent events are those where the probability of occurrence of one event does not influence the probability of occurrence of the other event in any way.

Here, in the mentioned situation whether a patient is diabetic or not is not connected to the population.

Thus the event that Patient A is diabetic and patient B is diabetic is not connected to each other and hence are independent event.