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

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    0
    2022-01-11T16:21:15+00:00

    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

    0
    2022-01-11T16:22:08+00:00

    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;)

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