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4. Calculate the probability that an officer is promoted given that the officer is a man. 5. Calculate the probability of a promotion given that the officer is a woman

User Cmather
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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

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. 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

4. Calculate the probability that an officer is promoted given that the officer is-example-1
User Shivsn
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