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.
Opinion Liked academic reading Disliked academic reading TOTAL
Liked recreational reading 136136136 404040 176176176
Disliked recreational reading 161616 888 242424
TOTAL 152152152 484848 200200200
In this sample, are the events "liked recreational reading" and "disliked recreational reading" mutually exclusive?

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.

Ver imagen virtuematane

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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