Publishing The table shows the results of a survey of 100 authors by a publishing company. New Authors Established Authors Total Successful 15 20 35 Unsuccessful 15 50 65 Total 30 70 100 Compute the following conditional probability. (Enter your probability as a fraction.) An author is unsuccessful, given that she is established.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Publishing**  
The table shows the results of a survey of 100 authors by a publishing company.

|                      | New Authors | Established Authors | Total |
|----------------------|-------------|---------------------|-------|
| Successful           | 15          | 20                  | 35    |
| Unsuccessful         | 15          | 50                  | 65    |
| Total                | 30          | 70                  | 100   |

**Task**  
Compute the following conditional probability. (Enter your probability as a fraction.)

An author is unsuccessful, given that she is established.

**Solution**  
The conditional probability that an author is unsuccessful, given that she is established, is calculated as follows:

\[ P(\text{Unsuccessful} \mid \text{Established}) = \frac{\text{Number of Unsuccessful Established Authors}}{\text{Total Number of Established Authors}} = \frac{50}{70} = \frac{5}{7} \]
Transcribed Image Text:**Publishing** The table shows the results of a survey of 100 authors by a publishing company. | | New Authors | Established Authors | Total | |----------------------|-------------|---------------------|-------| | Successful | 15 | 20 | 35 | | Unsuccessful | 15 | 50 | 65 | | Total | 30 | 70 | 100 | **Task** Compute the following conditional probability. (Enter your probability as a fraction.) An author is unsuccessful, given that she is established. **Solution** The conditional probability that an author is unsuccessful, given that she is established, is calculated as follows: \[ P(\text{Unsuccessful} \mid \text{Established}) = \frac{\text{Number of Unsuccessful Established Authors}}{\text{Total Number of Established Authors}} = \frac{50}{70} = \frac{5}{7} \]
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