A poll was taken of 14,360 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.

$$\begin{array} { c c c c }
\hline \text { Education Level } & \text { Male } & \text { Female } & \text { Total } \
\hline \text { High School or Less } & 3,092 & 2,294 & 5,386 \
\text { Bachelor's Degree } & 3,607 & 4,247 & 7,854 \
\text { Master's Degree } & 584 & 437 & 1,021 \
\text { Ph.D. } & 50 & 49 & 99 \
\hline \text { Total } & 7,333 & 7,027 & 14,360
\end{array}$$

A person is selected at random. Compute the probability that the person is male or has a Ph.D.
A) 0.518
B) 0.007
C) 0.514
D) 0.511

Question

A poll was taken of 14,360 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.

$$\begin{array} { c c c c } 
\hline \text { Education Level } & \text { Male } & \text { Female } & \text { Total } \
\hline \text { High School or Less } & 3,092 & 2,294 & 5,386 \
\text { Bachelor's Degree } & 3,607 & 4,247 & 7,854 \
\text { Master's Degree } & 584 & 437 & 1,021 \
\text { Ph.D. } & 50 & 49 & 99 \
\hline \text { Total } & 7,333 & 7,027 & 14,360
\end{array}$$

A person is selected at random. Compute the probability that the person is male or has a Ph.D.
A) 0.518
B) 0.007
C) 0.514
D) 0.511

Quizplus · Accepted Answer

To find the probability that the person is male or has a Ph.D., we need to add the number of males who do not have a Ph.D. to the number of people (both male and female) who have a Ph.D.

Number of males who do not have a Ph.D. = 7,333 - 50 = 7,283

Total number of people who have a Ph.D. = 99

So the total number of people who are either male or have a Ph.D. = 7,283 + 99 = 7,382

Therefore, the probability that the person is male or has a Ph.D. = 7,382/14,360 ≈ 0.514.

A Poll Was Taken of 14,360 Working Adults Aged 40-70