The following table represents the number of active-duty military personnel by r

Question

The following table represents the number of active-duty military personnel by rank in the four major branches of the military. Complete parts (a) through (d). (a) If an active-duty military person is selected at random, what is the probability that the individual is an officer? (Round to three decimal places as needed.) (b) If an active-duty military person is selected at random, what is the probability that the individual is in the Navy? (Round to three decimal places as needed.) (c) If an active-duty military person is selected at random, what is the probability that the individual is a Naval officer? (Round to three decimal places as needed.) (d) If an active-duty military person is selected at random, what is the probability that the individual is an officer or is in Navy? (Round to three decimal places as needed.)

Explanation / Answer

A) P(officers) = 202846/1410551 = 0.144

B) P(navy) = 317811/1410551 = 0.225

C) P(naval officer) = 56284/1410551 = 0.04

D) P(officer or navy) = P(officer) + P(navy) - P(naval officer)

= 0.144 + 0.225 - 0.04

= 0.329

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