The following table shows the results of a survey of 360 authors by a (fictitious) publishing company: $$\begin{array} { | l | l | l | l | }
\hline & \begin{array} { l }
\text { New } \
\text { Authors }
\end{array} & \begin{array} { l }
\text { Established } \
\text { Authors }
\end{array} & \text { Total } \
\hline \text { Successful } & 50 & 40 & 90 \
\hline \text { Unsuccessful } & 120 & 150 & 270 \
\hline \text { Total } & 170 & 190 & 360 \
\hline
\end{array}$$ A successful author is chosen at random.
Compute the estimated probability of the event that the successful author is established.

A) $\frac { 5 } { 9 }$
B) $\frac { 19 } { 36 }$
C) $\frac { 4 } { 9 }$
D) $\frac { 5 } { 19 }$
E) $\frac { 1 } { 9 }$

Question

The following table shows the results of a survey of 360 authors by a (fictitious) publishing company: $$\begin{array} { | l | l | l | l | } 
\hline & \begin{array} { l } 
\text { New } \
\text { Authors }
\end{array} & \begin{array} { l } 
\text { Established } \
\text { Authors }
\end{array} & \text { Total } \
\hline \text { Successful } & 50 & 40 & 90 \
\hline \text { Unsuccessful } & 120 & 150 & 270 \
\hline \text { Total } & 170 & 190 & 360 \
\hline
\end{array}$$   A successful author is chosen at random.
Compute the estimated probability of the event that the successful author is established.
 
A) $\frac { 5 } { 9 }$
B)   $\frac { 19 } { 36 }$
C)   $\frac { 4 } { 9 }$
D)   $\frac { 5 } { 19 }$
E)   $\frac { 1 } { 9 }$

Quizplus · Accepted Answer

The probability that a successful author is established is calculated by dividing the number of successful established authors by the total number of successful authors. From the table, there are 40 successful established authors out of a total of 90 successful authors, so the probability is $\frac{40}{90} = \frac{4}{9}$.

The Following Table Shows the Results of a Survey of 360