Question 1197352
iii. Depict the turn out percentage of the workers on the Bayes' tree diagram<pre>The Baye's tree diagram:

{{{drawing(400,400,1,13,-6,6,

line(1,0,3,2), line(1,0,3,-2),

line(4,3,6,5), line(4,3,6,1), line(4,-3,6,-5), line(4,-3,6,-1),

line(7,5,9,5), line(7,1,9,1),line(7,-1,9,-1),line(7,-5,9,-5),

locate(1.4,1.5,0.7), locate(1.4,-1.1,0.3),

locate(3,2.7,GOOD),locate(3,-2.3,POOR),

locate(4.4,4.5,0.8), locate(4.4,-4.1,0.6),locate(4.4,-1.5,0.4),

locate(4.4,1.9,0.2), 

locate(6,5.3,PASS),locate(6,1.3,FAIL),

locate(6,-4.7,FAIL),locate(6,-0.7,PASS),

locate(9,5.3,(0.7)(0.8) = 0.56),

locate(9,1.3,(0.7)(0.2) = 0.14),

locate(9,-0.7,(0.3)(0.4) = 0.12),

locate(9,-4.7,(0.3)(0.6) = 0.18)


 )}}}

Notice that we multiply the probabilities along each of the 4 paths
to the far right.

Notice that the sum of the probabilities at the end all add up to 1,
That is, 0.56 + 0.14 + 0.12 + 0.18 = 1.00 = 100%</pre>what then is the probability of the new hires that,
1.i. will turn out to be good workers?<pre>Notice that the potentially GOOD workers produced the 0.56 and the 0.14,
so we add those and get 0.56 + 0.14 = 0.70 = 70%</pre>ii. will turn out to be poor workers?<pre>Notice that the potentially POOR workers produced the 0.12 and the 0.18,
so we add those and get 0.12 + 0.18 = 0.30 = 30%

Edwin</pre>