What is the probability that a random person will be male? What is the percentag

Question

What is the probability that a random person will be male? What is the percentage of female and officer? What is the probability that a random person is enlisted and a male? What is the percentage of female or a contracted worker? What is the probability that a person is male or a contracted worker? If you are only interested in officers, what is the probability they are male? What is the probability that a random person is an officer, given they are female? What is the probability a person is enlisted, given they are a female?

Explanation / Answer

8.
Total number of persons = 654+98+136+227+101+54 = 1270
Probability that a random person will be male = Number of males/ Total number of persons = (654+98+136)/1270 = 0.7

9.
Percentage of female and officer = Number of females officer*100/ Total number of persons = 101*100/1270 = 7.95%

10.
Probability that a random person will be enlisted male = Number of enlisted males/ Total number of persons = 654/1270 = 0.515

11.
Percentage of female or contracted worker = (Number of females + Number of male contracted worker)*100/ Total number of persons = (227+101+54+136)*100/1270 = 40.79%

12.
Probability that a person is male or contracted worker = (Number of males + Number of female contracted worker)/ Total number of persons = (654+98+136+54)/1270 = 0.742

13.
Probability that a person is male in officers = Number of males officers/Total number of officers = 98/(98+101) = 0.492

14.
Probability that a person is officers in female = Number of female officers/Total number of females = 101/(227+101+54) = 0.264

15.
Probability that a person is enlisted in female = Number of female enlisted/Total number of females = 227/(227+101+54) = 0.594

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