Question

1. P(video games and kid is 10 to 12 years old)2. P(basketball/kid is 13 to 15 years old)3. P(kid is 13 to 15 years old/basketball)4. P(darts/kid is 10 to 15 years old)5. P(basketball and darts)6. P(basketball and kid is 13 to 18 years old)Answer the following problems about two way frequency tables fill in the missing cells on table and make sure to reduce your fraction.

Answer 1

Horizontal addition

Row 1 a + 12 + b +6 =37

`\begin{gathered} a+12+b+6=37 \\ a+b+18=37 \\ a+b=37-18 \\ a+b=19 \end{gathered}`

Row 2

`\begin{gathered} 8+c+16+11=d \\ c+35=d \end{gathered}`

Row 3

`\begin{gathered} 17+5+e+18=f \\ 40+e=f \end{gathered}`

Row 4

`\begin{gathered} g+34+45+h=143 \\ g+h+79=143 \\ g+h=143-79 \\ g+h=64 \end{gathered}`

Now Let us add the columns

Column 1

`a+8+17=g`

Column 2

`\begin{gathered} 12+c+5=34 \\ c+17=34 \\ c=34-17 \\ c=17 \end{gathered}`

Column 4

`\begin{gathered} 6+11+18=h \\ h=35 \end{gathered}`

Column 2

`\begin{gathered} b+16+e=45 \\ b+e=45-16 \\ b+e=29 \end{gathered}`

Hence, Video games under 10-12 is c=17, gotten from column 2

Vertical total under 16-18 is h=35 gotten from column 4

Hence, the horizontal total of the video game is 52

Since h is gotten, we can solve for 7 to 9 vertical total

`\begin{gathered} g+h=64 \\ g=64-h \\ g=64-35 \\ g=29 \end{gathered}`

Hence, the 7 to 9 vertical total is 29

`\begin{gathered} a+25=g \\ a=g-25 \\ a=29-25 \\ a=4 \end{gathered}`

Hence, Darts under 7 to 9 is 4

Darts under 13 to 15 is b

`\begin{gathered} a+b=19 \\ b=19-a \\ b=19-4 \\ b=15 \end{gathered}`

Hence, Darts under 13 to 15 is 15

Basket ball under 13 to 15 is e

`\begin{gathered} b+e=29 \\ e=29-b \\ e=29-15 \\ e=14 \end{gathered}`

Hence, Darts under 13 to 15 is 14

Video Games Horizontal total is d,

`\begin{gathered} c+35=d \\ 17+35=d \\ d=52 \end{gathered}`

Hence, the Horizontal total of the Video game is 52

Basketball horizontal total is f

40+e=f

`\begin{gathered} 40+e=f \\ 40+14=f \\ 54=f \end{gathered}`

Hence, the horizontal total of the Video game is 54.

Hence, the above table fill the empty space