The data on the major and home state for a randomly chosen group of students at a private college -213, -66, a23 =67, 922 , α14 = 68, α21 are: a11 = 80, , a13 a12 =204, 104 a31 =330 = 68, a32 = 67, a33 =76 a34 283, a41 =127, a42 =183 66, a44 =134 Pennsylvania New Jersey New York Maryland Total The following contingency table was created based on the above data, where you will need to calculate the grand total, the total for each row, and the total for each column on your own before answering the question that appears after the table. Biology 80 67 330 127 9 Accounting 204 213 67 183 History 68 66 76 66 a24 a43 = Education 68 104 283 134 = Total Calculate the probability of a student majoring in education, given that the student's home state is Maryland (For answers up to four decimal places, enter the number in the box below without rounding it. For answers that have more than four decimal values, round your answer to four decimal places).

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## Student Major and Home State Data Analysis

The data on the major and home state for a randomly chosen group of students at a private college are:

\[ 
a_{11} = 80, \ a_{12} = 204, \ a_{13} = 68, \ a_{14} = 68, \ a_{21} = 67, \ a_{22} = 213, \ a_{23} = 66, \ a_{24} = 104, \ a_{31} = 330, \ a_{32} = 67, \ a_{33} = 76, \ a_{34} = 283, \ a_{41} = 127, \ a_{42} = 183, \ a_{43} = 66, \ a_{44} = 134 
\]

The following contingency table was created based on the above data, where you will need to calculate the grand total, the total for each row, and the total for each column on your own before answering the question that appears after the table.

|              | Biology | Accounting | History | Education | Total |
|--------------|---------|------------|---------|-----------|-------|
| Pennsylvania | 80      | 204        | 68      | 68        |       |
| New Jersey   | 67      | 213        | 66      | 104       |       |
| New York     | 330     | 67         | 76      | 283       |       |
| Maryland     | 127     | 183        | 66      | 134       |       |
| Total        |         |            |         |           |       |

### Task

Calculate the probability of a student majoring in education, given that the student's home state is Maryland. 

(For answers up to four decimal places, enter the number in the box below without rounding it. For answers that have more than four decimal values, round your answer to four decimal places.)
Transcribed Image Text:## Student Major and Home State Data Analysis The data on the major and home state for a randomly chosen group of students at a private college are: \[ a_{11} = 80, \ a_{12} = 204, \ a_{13} = 68, \ a_{14} = 68, \ a_{21} = 67, \ a_{22} = 213, \ a_{23} = 66, \ a_{24} = 104, \ a_{31} = 330, \ a_{32} = 67, \ a_{33} = 76, \ a_{34} = 283, \ a_{41} = 127, \ a_{42} = 183, \ a_{43} = 66, \ a_{44} = 134 \] The following contingency table was created based on the above data, where you will need to calculate the grand total, the total for each row, and the total for each column on your own before answering the question that appears after the table. | | Biology | Accounting | History | Education | Total | |--------------|---------|------------|---------|-----------|-------| | Pennsylvania | 80 | 204 | 68 | 68 | | | New Jersey | 67 | 213 | 66 | 104 | | | New York | 330 | 67 | 76 | 283 | | | Maryland | 127 | 183 | 66 | 134 | | | Total | | | | | | ### Task Calculate the probability of a student majoring in education, given that the student's home state is Maryland. (For answers up to four decimal places, enter the number in the box below without rounding it. For answers that have more than four decimal values, round your answer to four decimal places.)
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