Answer:
4. Probability of being promoted given the officer is a man = 0.3
5. Probability of a promotion given that the officer is a woman = 0.15
Note: The data table is found in the attachment below
Step-by-step explanation:
Probability = number of required outcomes/ number of possible outcomes
4. Probability of being promoted given the officer is a man
Probability of being promoted given the officer is a man = number of men promoted/total number of men
From the table, total number of men = 960
number of men promoted = 288
Probability of being promoted given the officer is a man = 288/960 = 0.3
5. Â Probability of a promotion given that the officer is a woman
Probability of a promotion given that the officer is a woman = number of women promoted/total number of women
From the table, total number of women = 240
number of women promoted = 36
Probability of a promotion given that the officer is a woman = 36/240 = 0.15
