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?

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