The answers displayed are correct, can you help out on how the answers came abou

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The answers displayed are correct, can you help out on how the answers came about? Please show work

The table to the right represents the number of active-duty military personnel by rank in three major branches of the military. One person is selected at random. Complete parts a Officers through e 90,103 495,599 39,272 340,289 annes 52,988 219,562 182,363 1,055,450 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 yC. 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.) A. P(OA) = 0.073. P(ON) = 0.032, P(OM) = 0.043, PEA)= 0.400, P(EN)= 0.275, PEM) = 0.17 c. Find the probability that an active-duty military person is an officer The probability is 0.147. (Round to three decimal places as needed.) d. Find the probability that an active-duty military person is in the Navy The probablity is 0.307. (Round to three decimal places as needed.) e. Find the probability that an active-duty military person is a Naval officer The probability is 0.032. (Round to three decimal places as needed.)

Explanation / Answer

from above:

henc eP(OA) =90103/1237813= 0.073

P(ON) =39272/1237813=0.032

P(OM)=52988/1237813=0.043

P(EA) =495599/1237813=0.400

P(EN) =340289/1237813=0.275

P(EM)=219562/1237813=0.177

c) probbability=182363/1237813 =0.147

d) probability =379561/1237813 =0.307

e) probability=39272/1237813=0.032

army navy marines total officers 90103 39272 52988 182363 enlisted 495599 340289 219562 1055450 total 585702 379561 272550 1237813

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