Concept explainers
(a)
To find: the numbers of the mathematics degrees given that year were earned by women.
(a)
Answer to Problem 33E
10258 women
Explanation of Solution
Given:
Formula used:
General multiplication rule:
Calculation:
70% of the mathematics degrees were Bachelor degrees, whereas 24% were master degrees and in total there need to have been 100% degrees. This then implies that 100%-70%-24%=6% of the mathematics degrees were doctorates.
Using the general multiplication rule:
Using the addition rule
Thus a proportion of 0.4168 of the 24611 degrees were earned by the women.
Which are associates with
(b)
To Explain: that the events are independent yes or no.
(b)
Answer to Problem 33E
Not independent
Explanation of Solution
Given:
Formula used:
Multiplication rule:
Addition rule
Calculation:
70% of the mathematics degrees were Bachelor degrees, whereas 24% were master degrees and in total there need to possess been 100% degrees. This then implies that 100%-70%-24%=6% of the mathematics degrees were doctorates.
Multiplication rule:
Using the addition rule
It is find that the possibilities
(c)
To find: the probability that at least 1 of the 2 degrees was earned by a women.
(c)
Answer to Problem 33E
0.65987776=65.987776%
Explanation of Solution
Given:
Formula used:
Multiplication rule:
Addition rule
Complement rule:
Multiplication rule for independent events:
Calculation:
70% of the mathematics degrees were Bachelor degrees, whereas 24% were master degrees and in total there require to have been 100% degrees. This then implies that 100%-70%-24%=6% of the mathematics degrees were doctorates.
Use the general multiplication rule:
Use the addition rule for disjoint events:
Use the complement rule:
Use the multiplication rule for independent events (assuming that the two individuals are independent):
Use the complement rule:
Chapter 9 Solutions
PRACTICE OF STATISTICS F/AP EXAM
Additional Math Textbook Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Elementary Statistics
Elementary Statistics: Picturing the World (6th Edition)
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman