Three different age groups of shoppers were
Subject: Mathematics / Statistics
Question
Three different age groups of shoppers were asked to name their first preference for a store when shopping for clothing. The table below illustrates the results of the survey.
Age
15-25
35-45
55-65
Totals
Macys
55
135
20
Penney’s or Sears (P/S)
27
85
38
Kohls or Target (K/T)
118
80
42
Totals
1. P(Age < 50)
2. P(Macy’s)
3. P(Macy’s C)
4. P(15-25 OR Macy’s)
5. P(15-25 AND K/T))
6. P(55-65 OR Macy’s)
7. P(Macy’s OR P/S)
8. P(Age> 30)
9. P(15 – 25 C)
10. P(Macy’s |15-25)
11. P(Macy’s |35-45)
12. P(Macy’s |55-65)
13. P(15-25| Macy’s)
14. P(P/S | Macy’s)
15. P(P/S AND Macy’s)
16. P(35-45 AND P/S)
17. P(35-45 OR P/S)
18. P(35-45| P/S)
19. P(P/S |15-25)
20. P(P/S |35-45)
21. P(P/S |55-65)
Is the store preference independent of age? Use probabilities in problems 19, 20 and 21 to demonstrate your decision.
Based on the information in problems 19, 20 and 21 what information can you give Penney’s and Sears about their customers?
Give an example of two events that are disjoint (mutually exclusive)?
Which problems illustrate a complement of an event?
