Respuesta :
Answer:
Yes, the events "liked recreational reading" and "disliked recreational reading" are mutually exclusive.
Step-by-step explanation:
Mutually exclusive is another word for disjoint.
Two events A and B are said to be mutually exclusive if:
[tex]P(A\bigcap B)=0[/tex]
The two-way frequency table could be seen from the attached figure.
If here A denote the event liked recreational rating and B denote the event disliked recreational reading.
Then obviously such events are mutually exclusive.
Since, he has just two choices whether he will love a particular thing or not.
In the sample, the events "liked recreational reading" and "disliked recreational reading" are mutually exclusive.
When two events are said to be mutually exclusive?
The two events area said to be mutually exclusive when they cannot take place simultaneously. For the two events, A and B, to be mutually exclusive,
[tex]P(A\cap B)=0[/tex]
Two hundred people were surveyed about whether or not they like recreational reading and academic reading.
The following two-way table displays data for the sample of people who responded to the survey.
- Reading Liked academic Disliked academic TOTAL
- Liked recreational 136 40 176
- Disliked recreational 16 8 24
- TOTAL 152 48 200
In this table, the choice to like or disliked is mutually exclusive, as one can either like recreational reading or dislike it.
Thus, In the sample, the events "liked recreational reading" and "disliked recreational reading" are mutually exclusive.
Learn more about the mutually exclusive here;
https://brainly.com/question/16632468
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