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? (b) If an active-duty military person is selected at random, what is the probability that the individual is in the Navy? (c) If an active-duty military person is selected at random, what is the probability that the individual is a Naval officer? (d) If an active-duty military person is selected at random, what is the probability that the individual is an officer or is in the Navy?

Explanation / Answer

a) P(Officer) = 230698/1493240 = 0.154

b) P(Navy) = 448525/1493240 = 0.300

c) P(Naval Officer) = 51420/1493240 = 0.034

d) P(Officer or Navy) = 0.154 + 0.300 - 0.034 = 0.420

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