Question 1132800
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(a)    what is the probability of an incorrectly filled container?


<pre>
      0.3*0.01 + (1-0.3)*0.001 = 0.0037 = 0.37%.
</pre>


(b) &nbsp;&nbsp;If an incorrectly filled container is found, what is the probability that it was filled during the high speed operation


<pre>
     {{{(0.3*0.01)/(0.3*0.01 + 0.7*0.001)}}} = 0.81081 = 81.81%.
</pre>


The formulas are self-explanatory.