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Question
Statistics
Posted 3 months ago

Mavis is interested in whether military status is related to gender in American Samoa. Here is data she collected about the population of American Samoa in 2010:
\begin{tabular}{lrr} 
Military status & Female & Male \\
\hline In Armed Forces & 28 & 59 \\
Military-dependent & 928 & 781 \\
Civilian & 26,393 & 27,330
\end{tabular}

Find the marginal distribution of military status in counts.
In Armed Forces: \square
Military-dependent: \square
Civilian: \square
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Answer from Sia
Posted 3 months ago
Solution by Steps
step 1
To find the marginal distribution of military status in counts, we need to sum the counts for each military status category across both genders
step 2
For "In Armed Forces", sum the counts for females and males: 28+59=8728 + 59 = 87
step 3
For "Military-dependent", sum the counts for females and males: 928+781=1709928 + 781 = 1709
step 4
For "Civilian", sum the counts for females and males: 26,393+27,330=53,72326,393 + 27,330 = 53,723
Answer
In Armed Forces: 87
Military-dependent: 1709
Civilian: 53,723
Key Concept
Marginal Distribution
Explanation
The marginal distribution of a variable is obtained by summing the counts or probabilities across the levels of another variable. In this case, we summed the counts of military status across genders.

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