Question 1138975
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<pre>
A poll was taken of 13,863 working adults aged 40-70 to determine their level of education. 
The participants were classified by sex and by level of education. The results were as follows.

  Education level         Male         Female         total

Highschool or less        3043         2133            5176
Bachelor's Degree         3428         4150            7578
Master's Degree            544          423             977
PH.D                        72           60             132

Total                     7097         6766            13863

A person is selected at random. Compute the probability that the person is male or has a Ph.D.</pre>~~~~~~~~~~~~~~~~~


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>Solution</U>


<pre>
This probability is the ratio of two quabtities.


One quantity - the total number of working adults, which is 13,863, according to the condition.

This quantity goes to the denominator.


The numerator is the sum of numbers from the table: number of male (7097, from the table) <U>PLUS</U> 

                                                the number of female with PhD (60, the table).


So, the probability under the question is


    P = {{{(7097 + 60)/13863}}} =  0.5163 = 51.63%.    <U>ANSWER</U> 
</pre>

Solved.