A survey asks adults to report their marital status.
The sample space is S = {single, married,
divorced, widowed} . Use set notation to represent
the event the adult is not married.
This is what I think is the answer Married = {single, divorced, widowed}
That may be the notation, but it does not = married.
A survey asks adults to report their marital status. The sample space
is S = {single, married, divorced, widowed}. (5 Marks)
a) Use set notation to represent the event the adult is not married.
Suppose that in the city in which the survey is conducted, 50% of adults are married, 15% are
single, 25% are divorced, and 10% are widowed. Using the relative frequency approach to
assigning probability, we can state the following
The event "the adult is not married" can be represented using set notation as the complement of the event "the adult is married". The complement of an event A is denoted as A'. Therefore, the event "the adult is not married" can be represented as:
Not Married = S - Married
Where S is the sample space, and Married represents the set of individuals who are married.
You are correct that the event represents the adults who are not married. However, the set notation you provided is not correct. Let me help you with the correct set notation.
In this case, we want to represent the event that the adult is not married. To do this, we need to find the complement of the event "married" in relation to the sample space. The complement of a set represents all the outcomes in the sample space that are not in the given set.
The set notation for the event that the adult is not married can be represented as:
Not Married = S - Married
Here, "S" represents the sample space, and "Married" represents the set of outcomes where the adult is married.
So, the correct set notation for the event that the adult is not married would be:
Not Married = {single, divorced, widowed}