Stat Homework
Smaxwell55
Stat1045.3AHW1.docxStat 104 Chapter 5 Name:________________________
5.3A Homework
page 287 #9-21 odd numbers, 33, 53
Contingency table of threatened and endangered species
|
|
Africa |
Australia |
North America |
Total |
|
Threatened |
1 |
1 |
2 |
4 |
|
Endangered |
3 |
1 |
2 |
6 |
|
Total |
4 |
2 |
4 |
10 |
A mammal is to be chosen at random. Define the following events.
A: Continent is Africa.
B: Continent is Australia.
C: Continent is North America.
E: Mammal is endangered.
T: Mammal is threatened.
Find the indicated probabilities:
9. The mammal is from Africa, given that it is endangered, i.e. P(A given E)
10. P(B given E)
11. P(C given E)
12. P(A given T)
13. P(B given T)
14. P(C given T)
15. The mammal is endangered, given that it is from Africa, i.e. P(E given A).
16. P(E given B)
17. P(E given C)
18. P(T given A)
19. P(T given B)
20. P(T given C)
21. Compare P(E given A) and P(T given A). Among the mammals from Africa, is the higher proportion endangered or threatened?
33. Referring to the work above and using the strategy for determining whether two events are independent, determine whether the following pair of events is independent: species is from Africa, and the species is endangered, i.e. A and E.
53. Use the Multiplication Rule to find the indicated probability:
The National Center for Education Statistics reports that 71% of college students applied for federal financial aid. Of those who applied for federal aid, 47.5% were male. Choosing a student at random what is the probability of selecting a male who applied for federal financial aid?
Stat 104 5.3A HW
Fall 2020 Instructor J Hodgson Page 1 of 2
