Step 1: Complete the contingency table by filling in all blanks.
Step 2: Calculate the requested probabilities. Show the fraction you used to get the probability (do not reduce) and then round the decimal answer to three decimal places.
Step 3: Answer the questions about the contingency table.
The table below shows the results of blind cola preference test. Adults indicated their age group and which cola they preferred. The results show three of the different age groups.
|
Age
|
|
15-25
|
35-45
|
55-65
|
Totals
|
|
Coke
|
45
|
60
|
45
|
|
|
Pepsi
|
21
|
120
|
59
|
|
|
Unbranded Cola
|
34
|
70
|
46
|
|
|
Totals
|
|
|
|
|
If one person is chosen at random from the above study determine the following: (show the fraction used and then round to three decimal places)
|
1. P(Age
|
2. P(Coke)
|
3. P(Coke C)
|
|
4. P(15-25 OR Coke)
|
5. P(15-25 AND Unbrand)
|
6. P(55-65 OR Coke)
|
|
7. P(Coke OR Pepsi)
|
8. P(Age> 30)
|
9. P(15 - 25 C)
|
|
10. P(Coke|15-25)
|
11. P(Coke|35-45)
|
12. P(Coke|55-65)
|
|
13. P(15-25|Coke)
|
14. P(Pepsi|Coke)
|
15. P(Pepsi AND Coke)
|
|
16. P(35-45 AND Pepsi)
|
17. P(35-45 OR Pepsi)
|
18. P(35-45|Pepsi)
|
|
19. P(Pepsi|15-25)
|
20. P(Pepsi|35-45)
|
21. P(Pepsi|55-65)
|
1. Is the preference independent of age? Use probabilities in problems 19, 20 and 21 to demonstrate your decision.
2. Based on the three probabilities in problem 19, 20 and 21 what advice would you give Pepsi about marketing?
3. Give an example of two events that are disjoint (mutually exclusive)?
4. Which problems illustrate a complement of an event?