The two-way table summarizes data from the human resource department at a university:
New Hires
What is the probability (rounded to two decimal places)of a randomly selected new hire being tenure track given that the new hire is a woman?
A)0
B)0.51
C)0.49
D)0.20
E)0.24

Question

The two-way table summarizes data from the human resource department at a university:
New Hires 
What is the probability (rounded to two decimal places)of a randomly selected new hire being tenure track given that the new hire is a woman?
A)0 
B)0.51 
C)0.49 
D)0.20 
E)0.24

Quizplus · Accepted Answer

To find the probability of a randomly selected new hire being tenure track given that the new hire is a woman, we need to use conditional probability where the number of women who are tenure track is divided by the total number of women. From the table, we see that there are 30 women in total, out of which 14 are tenure track. Therefore, the probability is 14/30 = 0.47, which when rounded to two decimal places is 0.49. So the best choice is C.

The Two-Way Table Summarizes Data from the Human Resource Department