A poll was taken of 14,292 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.
$\begin{array} { c c c c }
\hline \text { Education Level } & \text { Male } & \text { Female } & \text { Total } \
\hline \text { High School or Less } & 3594 & 2729 & 6323 \
\text { Bachelor's Degree } & 3245 & 3652 & 6897 \
\text { Master's Degree } & 566 & 401 & 967 \
\text { Ph.D. } & 63 & 42 & 105 \
\hline \text { Total } & 7468 & 6824 & 14,292
\end{array}$
A person is selected at random. Compute the probability that the person is male or has a Ph.D.
A)0.523
B)0.525
C)0.008
D)0.530

Question

A poll was taken of 14,292 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.
 $\begin{array} { c c c c } 
\hline \text { Education Level } & \text { Male } & \text { Female } & \text { Total } \
\hline \text { High School or Less } & 3594 & 2729 & 6323 \
\text { Bachelor's Degree } & 3245 & 3652 & 6897 \
\text { Master's Degree } & 566 & 401 & 967 \
\text { Ph.D. } & 63 & 42 & 105 \
\hline \text { Total } & 7468 & 6824 & 14,292
\end{array}$
A person is selected at random. Compute the probability that the person is male or has a Ph.D.
A)0.523
B)0.525
C)0.008
D)0.530

Quizplus · Accepted Answer

The probability that a person is male or has a Ph.D. is calculated by adding the probability of being male and the probability of having a Ph.D., then subtracting the probability of being both male and having a Ph.D. P(Male) = 7468/14292, P(Ph.D.) = 105/14292, P(Male and Ph.D.) = 63/14292. So, P(Male or Ph.D.) = P(Male) + P(Ph.D.) - P(Male and Ph.D.) = 7468/14292 + 105/14292 - 63/14292 = 7510/14292 ≈ 0.525.

A Poll Was Taken of 14,292 Working Adults Aged 40-70