Problem #3-Military Personnel The table below represents the number of active-du
ID: 2923366 • Letter: P
Question
Problem #3-Military Personnel The table below represents the number of active-duty military personnel by rank in the four major branches of the military as of December 2007 Navy Air Force Marines Officer Enlisted 84,781 428,929 51,167 278,193 64,927 260,798 19.631 TOTAL 513,710 329,360 325,725 186,342 166,711 TOTAL 220,506 1,134,631 1,355,137 For each of your answers: Example: When I select at Roughly reproduce the table on random from among the Officers, what is the probability I get someone from the Army? our homework Outline! any restriction Shade the event you are interested in inside the restriction Restate using correct notation Compute · | P(Army | Officer) 84781-0 P(Army Officer) = 20506 03842 = . A. Overall, what is the probability that a randomly selected active-duty person is enlisted? B. If you are randomly selecting from the active-duty persons in the Army, what is the C. If you are randomly selecting from the active-duty persons in the Navy, what is the D. If you are randomly selecting from the active-duty persons in the Air Force, what is the E. If you are randomly selecting from the active-duty persons in the Marines, what is the F. Which branch of the military had the highest percentage of enlisted personnel? probability that the individual you select is enlisted? probability that the individual you select is enlisted? probability that the individual you select is enlisted? probability that the individual you select is enlisted?Explanation / Answer
a) P(enlisted) = 1134631 / 1355137 = 0.837
b) P(enlisted | army) = P(enlisted and army) / P(army) = (428929/1355137) / (513710/1355137) = 428929/513710 = 0.835
c) P(enlisted | navy) = P(enlisted and navy) / P(navy) = (278193/1355137) / (329360/1355137) = 278193/329360= 0.845
d) P(enlisted | air force) = P(enlisted and air force) / P(air force) = (260798/1355137) / (325725/1355137) = 260798/325725= 0.801
e) P(enlisted | marines) = P(enlisted and marines) / P(marines) = (166711/1355137) / (186342/1355137) = 166711/186342= 0.895
f) Marines had the highest percentage of enlisted personnel
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