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

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.  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

yes, gavin is right.

step-by-step explanation:

gavin is correct. 

this problem is about converting 9% per year to how many percent per quarter. the rate is still the same. it only differed in the time period. so, through dimensional analysis,

9% per year  × (1 year / 4 quarters) = 2.25% per quarter

if he was asked to convert 9% per year to how many percent per quarter  compounded quarterly, then you will not simply divide by four. this is because compounding is not linear.

hope this , have a good day. c;