Textbook Problem

Publishing Exercises 49–56 are based on the accompanying table, which shows the results of a survey of authors by a (fictitious) publishing company. [HinT: See Example 5.]

	New Authors	Established Authors	Total
Successful	5	25	30
Unsuccessful	15	55	70
Total	20	80	100

Consider the following events: S: An author is successful; U: An author is unsuccessful; N: An author is new; and E: An author is established.

Describe the events $N\cap U$ and $N\cup U$ in words. Use the table to compute $n\left(N\cap U\right)\text{ and }n\left(N\cup U\right)$.