% 
% Written by:
% -- 
% John L. Weatherwax                2007-09-10
% 
% email: wax@alum.mit.edu
% 
% Please send comments and especially bug reports to the
% above email address.
% 
%-----

clc; 

lambda = 3;    % cars per hour 
lambda = 3/60; % cars per minute
mu_1   = 1/15; % cars per minute
mu_2   = 1/30; % cars per minute

% from exercise #9: 
p_00=0.228;
p_10=0.257;
p_01=0.342;
p_11=0.171;


fprintf( 'part (b): p_10+p_11 = %10.6f\n', p_10+p_11 ); 

fprintf( 'part (c): p_01+p_11 = %10.6f\n', p_01+p_11 ); 

fprintf( 'part (d): (p_00+p_01)*lambda = %10.6f (cars-per-minute) = %10.6f (cars-per-hour)\n', (p_00+p_01)*lambda, (p_00+p_01)*lambda*60); 

fprintf( 'part (e): (p_11+p_01)/(1/mu_2) = %10.6f (cars-per-minute) = %10.6f (cars-per-hour)\n', (p_11+p_01)/(1/mu_2), ((p_11+p_01)/(1/mu_2))*60 ); 

%%%-mu_2 *p_10 + mu_1 * p_10 - mu_2 * p_00 

fprintf( 'part (f): (p_11)/p_10 = %10.6f; 34/61 = %10.6f\n', p_11/p_10,34/61);