The table to the right represents the number of active-duty military ArmyNavy Ma

Question

The table to the right represents the number of active-duty military ArmyNavy Marines Total 235,552 927,191 personnel by rank in three major branches of the military. One person is Officers selected at random. Complete parts a through e 98,009 438,098 38,848 203,488 98,695 285,605 Enlisted a. List the sample points for this experiment. Let O represent an officer and E represent someone who is enlisted. Let A represent someone in the Army, N represent someone in the Navy, and M represent someone in the Marines, Choose the correct answer below A. AN, AM, OA, ON, OM OB, OA, ON, OM ° C. OA, ON, OM. EA, EN, EM b. Assign reasonable probabilities to the sample points. Select the correct choice below and fill in the answer boxes to complete your choice (Round to three decimal places as needed.) 0 A. POA): , P(ON), , P(OM), B. POA): , P(ON): , P(OM)- , PEA), . PEN)- , PEM): c. Find the probability that an active-duty military person is an officer. The probability is (Round to three decimal places as needed.) d. Find the probability that an active-duty military person is in the Navy The probability is (Round to three decimal places as needed.) e. Find the probability that an active-duty military person is a Naval officer The probability is (Round to three decimal places as needed.)

Explanation / Answer

a) option C is correct.

b)from given tablke:

option B:

P(OA) =98009/1162743=0.0843

P(ON) =3888/1162743=0.0334

P(OM) =0.0849

P(EA) =0.3768

P(EN)=0.1750

P(EM)=0.2456

c)

P(O) =235552/1162743 =0.2026

d) P(N) =242336/1162743 =0.2084

e) P(ON)=0.0334

army navy marines total officers 98009 38848 98695 235552 enlisted 438098 203488 285605 927191 total 536107 242336 384300 1162743

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