Mavis is interested in whether military dependency is


related to gender in American Samoa. Here is data she


collected about the population of American Samoa in


2010:


Military status


Female


Male


In Armed Forces


28


59


Military-dependent


928


781


Civilian


26,393


27,330


Find the marginal distribution of gender in counts.

Respuesta :

Answer:

                 In Armed Forces      Military-dependent    Civilian      Total

Female     0.0005                      0.0167                        0.4753       0.4925

Male         0.0010                        0.0143                       0.4922      0.5075

Total         0.0015                        0.0310                      0.9675      1

Step-by-step explanation:

To get the marginal distribution of the table, first you have to add one column for each row's total, and one row for each column's total, as follows:

                 In Armed Forces      Military-dependent    Civilian      Total

Female     28                              928                             26,393      27349

Male         59                              781                               27,330      28170

Total         87                               1709                            53723      55519

To compute the marginal distribution, you have to divide the amount of each subset by the total. For example, for females in armed forces is: 28/55519 = 0.0005. All other values are calculated in an analogous way.

In this exercise we want to calculate the marginal distribution of the given table.

[tex]Female\\Male\\Total[/tex]   [tex]In \ Armed \ Forces\\0.0005\\0.0010\\0.0015[/tex]     [tex]Military \ dependent \\0.0167\\0.0143\\0.00310[/tex]    [tex]Civilian\\0.4753\\0.4922\\0.9675[/tex]   [tex]Total\\0.4925\\0.5075\\1[/tex]              

To get the marginal distribution of the table, first you have to add one column for each row's total, and one row for each column's total, as follows:

[tex]Female\\Male\\Total[/tex]    [tex]In \ Armed \ Forces\\28\\59\\87[/tex]    [tex]Military \ dependent \\928\\781\\1.709[/tex]    [tex]Civilian\\26,393\\27,330\\53,723[/tex]   [tex]Total\\27,349\\28,170\\55,519[/tex]

To compute the marginal distribution, you have to divide the amount of each subset by the total. For example, for females in armed forces is:

A) females in armed forces:

[tex]28/55519 = 0.0005[/tex]

B) Male in armed forces:

[tex]59/55519= 0.0010[/tex]

C) Female in Militay dependent:

[tex]928/55519= 0.0167[/tex]

D) Male in Militay dependent:

[tex]781/55519= 0.0143[/tex]

E) Female in Civilian :

[tex]26393/55519= 0.4753[/tex]

F) Male in Civilian :

[tex]27330/55519= 0.4922[/tex]

See more about marginal distribution at brainly.com/question/6007860

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