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 ∩ U and N ∪ U in words. Use the table to compute n ( N ∩ U ) and n ( N ∪ U ) .
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 ∩ U and N ∪ U in words. Use the table to compute n ( N ∩ U ) and n ( N ∪ U ) .
Solution Summary: The author illustrates how the table shows the results of a survey of authors. The event Ncap U represents an author is new and unsuccessful.
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
∩
U
and
N
∪
U
in words. Use the table to compute
n
(
N
∩
U
)
and
n
(
N
∪
U
)
.
.
The students who attend Memorial High School have a wide variety of extra-curricular activities to choose from in the after-school program. Students are 38% likely to join the dance team; 18% likely to participate in the school play; 42% likely to join the yearbook club; and 64% likely to join the marching band. Many students choose to participate in multiple activities. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.What is the probability of the union of being either a freshman or senior?
0.07
0.44
0.50
0.25
Explain the conditions under which the Radius of Convergence of the Power Series is a "finite positive real number" r>0
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