Question 1198914
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Regarding this problem, I want to make some notices.


<pre>
    There is a dark spot in the problem. 

    This dark spot is that the problem does not say if we should consider scores 
    as continues variables or as discrete integer variables.


    If the scores are integer variables, then the interval "more than 47, but less than 71" 

    is the interval [48,70], but not the interval [47,71], which @Theo considers in his solution.


    Also, if the scores are discrete integer variables, then we should use the "continuous correction",

    which leads to the interval [47.5,70.5].
</pre>

Since there is this dark spot in the problem's formulation, I even do not try to give a solution.


The formulation must be clarified, otherwise any solution is questionable.