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The Cross Tabulation Below Classifies Employees of a Communications Company

question 5

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The cross tabulation below classifies employees of a communications company by age and field of expertise. Use the given information to create a joint probability table.
 Under 35354445+ Total  Engineering 8,3998,6637,07224,134 Business 14,51514,98826,68356,186 Education 6,7385,6578,66921,064 Liberal Arts 11,41511,48412,11135,010 Total 41,06740,79254,535136,394\begin{array} { | l | c | c | c | c | } \hline & \text { Under } \mathbf { 3 5 } & \mathbf { 3 5 } - \mathbf { 4 4 } & \mathbf { 4 5 } + & \text { Total } \\\hline \text { Engineering } & 8,399 & 8,663 & 7,072 & \mathbf { 2 4 , 1 3 4 } \\\hline \text { Business } & 14,515 & 14,988 & 26,683 & \mathbf { 5 6 , 1 8 6 } \\\hline \text { Education } & 6,738 & 5,657 & 8,669 & \mathbf { 2 1 , 0 6 4 } \\\hline \text { Liberal Arts } & 11,415 & 11,484 & 12,111 & \mathbf { 3 5 , 0 1 0 } \\\hline { \text { Total } } & \mathbf { 4 1 , 0 6 7 } & \mathbf { 4 0 , 7 9 2 } & \mathbf { 5 4 , 5 3 5 } & \mathbf { 1 3 6 , 3 9 4 } \\\hline\end{array}


Definitions:

Rectum

The final section of the large intestine, terminating in the anus, where feces are stored before evacuation.

Lubrication

The natural or artificial process of producing moisture to reduce friction, often discussed in the context of sexual activity.

Semen Volume

The total amount of seminal fluid ejected during ejaculation, which can vary based on numerous factors.

Sperm

are male reproductive cells that fertilize a female's egg in order to produce offspring.

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