Question

Determine whether the statement below is true or false Consider the following events: Event A The survey respondent is less than 40 years old Event B The survey respondent is 40 years or older. Events A andB are mutually exclusive and collectively exhaustive.
True False

Answer 1

Answer:

True

Explanation:

In statistics, mutual exclusivity is a term used to describe two or more incidents or events that are incapable of coinciding. Furthermore, in probability logic and theory, one can classify an event or set of events as being collectively exhaustive if at least the occurrence of one event is inevitable due to the fact that they the events include all possible outcomes.

Hence Event A and Event B are mutually exclusive because its either the survey respondents are less than 40 years or they are 40 years and above. They both cannot happen at the same time, and they are collectively exhaustive because they are a range of the possible outcomes for age.