Question

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.

A. True
B. False

Answer 1

False. These events are dependent.

Explanation:

A represent the event "the first individual has diabetes."

B represent the event "the second individual has diabetes."

The probability that the second individual has diabetes changes according to the probability that the first individual has diabetes. Therefore these events are dependent.