function [] = chap_3_prob_36()
% 
% Written by:
% -- 
% John L. Weatherwax                2006-08-28
% 
% email: wax@alum.mit.edu
% 
% Please send comments and especially bug reports to the
% above email address.
% 
%-----

format rat; 

n_employees   = [ 50, 75, 100 ];
tot_employees = sum(n_emp);

% probability of each store (A,B,C): 
p_store = n_employees / tot_employees;

% probability a woman resigns given each store:
p_w_given_store = [ 0.5, 0.6, 0.7 ]; 

% joint probability a woman resigns from each store:
p_w_N_store = p_w_given_store .* p_store; 

% probability that person resigns from store C given the person is a woman: 
p_C_given_w = p_w_N_store(3) / sum( p_w_N_store )