## 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?

in progress 0
1 week 2022-01-11T16:20:11+00:00 2 Answers 0 views 0

The two-way frequency table is shown below.

Step-by-step explanation:

Romain took a total of N = 32 classes in high school.

Denote the events as follows:

X = Romain studied for a class

Y = Romain did not studied for a class

A = Romain passed the class

B = Romain did not pass the class

The 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)     Total

Passed (A):           23                         4                        27

Did not Passed (B):            3                         2                          6

Total:           26                         6                        32

2. Answer:   Studied for the class     Did not study for the class

Passed the class          23                           4

Did not pass the class   3                             2

Step-by-step explanation:

this will help;)