## Romain knows the following information about the 32 3232 classes he took in high school: He studied for but did not pass 3 33 classes. He

Question

Romain knows the following information about the 32 3232 classes he took in high school: He studied for but did not pass 3 33 classes. He passed 27 2727 classes in total. He studied for 26 2626 classes in total. Can you help Romain organize the results into a two-way frequency table?

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2022-01-11T16:20:11+00:00
2022-01-11T16:20:11+00:00 2 Answers
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## Answers ( )

Answer:The two-way frequency table is shown below.

Step-by-step explanation:Romain took a total of

N= 32classes in high school.Denote the events as follows:

X= Romain did not studied for a classY= Romain passed the classA= Romain did not pass the classBThe information provided is:

n (X ∩ B) = 3

n (A) = 27

n (X) = 26

Compute the number of classes Romain did not pass as follows:

n (B) = N – n (A)

= 32 – 27

= 5

Compute the number of classes Romain did not study for as follows:

n (Y) = N – n (X)

= 32 – 26

= 6

Compute the number of classes Romain did not study for and did not pass as follows:

n (Y ∩ B) = n (B) – n (X ∩ B)

= 5 – 3

= 2

Compute the number of classes Romain did not study for but passed as follows:

n (Y ∩ A) = n (Y) – n (Y ∩ B)

= 6 – 2

= 4

Compute the number of classes Romain did study for and passed as follows:

n (X ∩ A) = n (A) – n (X ∩ A)

= 27 – 4

= 23

The two-way frequency table is as follows:

Studied (

X) Did not Studied (Y) TotalPassed (

A): 23 4 27Did not Passed (

B): 3 2 6Total: 26 6 32

Answer: Studied for the class Did not study for the classPassed the class 23 4

Did not pass the class 3 2

Step-by-step explanation:this will help;)