Answer :
Answer:
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
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:
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