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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.
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Solution
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) PLUS
the number of female with PhD (60, the table).
So, the probability under the question is
P = = 0.5163 = 51.63%. ANSWER
Solved.