A study was conducted on horses to identify factors that might contribute to the formation of enteroliths-stones that form in the colon of the horse and eventually lead to blockage and death. The table below summarizes disease status by sex (gelding, mare, and stallion). How many conditional distributions for gender p (being a mare, given disease status) can be calculated for these data?
A)1
B)2
C)3

Question

A study was conducted on horses to identify factors that might contribute to the formation of enteroliths-stones that form in the colon of the horse and eventually lead to blockage and death. The table below summarizes disease status by sex (gelding, mare, and stallion).  How many conditional distributions for gender p (being a mare, given disease status) can be calculated for these data?
A)1 
B)2 
C)3

Quizplus · Accepted Answer

To calculate a conditional distribution we need to pick a disease status (i.e., each of the rows) and then calculate the distribution of gender within that group. 
There are two disease statuses in the table, "affected" and "unaffected". For each of the disease statuses we can create a conditional distribution for gender. Therefore, we can calculate two conditional distributions: one for affected horses and one for unaffected horses. However, we cannot create a conditional distribution for gender given the disease status "NA" because there are no observations in that group. Therefore, the answer is B) 2.

A Study Was Conducted on Horses to Identify Factors That