If the outcome of event A is not affected by event B, then events A and B are said to be A. mutually exclusive. B. statistically independent. C. collectively exhaustive. D. None of the above.

Question

Trey Butler

Social Studies

4 May, 18:30

If the outcome of event A is not affected by event B, then events A and B are said to be A. mutually exclusive. B. statistically independent. C. collectively exhaustive. D. None of the above.

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Answers (1)

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Kaylynn Ellison · Answer 1

B. Statistically independent.

Explanation:

In statistics when the outcome of an event does not have any effect in the probability of another event is termed as statistically independent. It is a very important concept in statistics.

When the outcome of event A is not affected by the outcome of event B, there is no influence in the outcomes of both A or B by the outcome of one another.

For example, when you role a dice and flip a coin at the same time, the chances of getting any number variable on the dice and the chances of getting a head or a tail of the coin does not influence the outcome of the other event. The outcome of both the events are independent from each other. Thus, they are said to be statically independent.