Question

In 2013, about 66% of full time law enforcement workers were sworn officers, and of those 88.4% were male. Females however make up 60.7% of civilian employees. Choose one law enforcement worker at random and find the probability that he or she is male or a civilian employee.

*The answer solution says that the total of male employees is 71.706%. I do not understand how this is, please explain the answer thoroughly so I understand.

Answer 1

solution uiven Pl Swom ocers) =066 0b Those yT. Wc male Pemali I swom oer$) 20 %84 607y 0 cvillan wae fomala Plfemal lcvillan) -0-607 Plfemale/swem ofces)= 1 - 0 884 0 16 PMale Clvillian) = 1- 0.607 - o313 Plcivilliam)2 l00y - P(swoYn offic) o 34

Pimate) Plmalelavillian) * PCcwllan) +Plmalson* Plswom o39 o 34 O Egy 0 66 o133620 S83y 4 0.706 Plmale)+ Plcvillan) -P( male amd civillan) Pl mall oY Civillen) 1 006t 034 Pimale and civillon) P (MIc)= PCMAC) PA) PimIc)Pc) P(mne) o 13362 o 393034

0 133 62 Pimale or civilliam) 0.71706+ 0 31 = 012344