A beverage company surveyed 310 customers about their favorite type of weather and preferred beverage. The results are displayed in the table. Water Coffee Tea Soft Drink Sunny 28 44 16 36 Stormy 14 22 18 8 Snowy 21 21 33 12 27 Cloudy 7 11 9 4 Is preferring water independent of favoring snowy weather? Justify mathematically. Yes, because 0.068 = (0.226)(0.300) Yes, because 0.021 (0.226)(0.300) No, because 0.068 = (0.226)(0.300) No, because 0.021 # (0.226)(0.300)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 27E: Another friend asks you to explain how to tell whether two events are dependent or independent. How...
Question
A beverage company surveyed 310 customers about their favorite type of weather and preferred beverage. The results are displayed in the table.
Water Coffee Tea Soft Drink
Sunny
28
44
16
36
Stormy
14
22
18
8
Snowy
21
21
33
12
27
Cloudy
7
11
9
4
Is preferring water independent of favoring snowy weather? Justify mathematically.
Yes, because 0.068 = (0.226)(0.300)
Yes, because 0.021 (0.226)(0.300)
No, because 0.068 = (0.226)(0.300)
No, because 0.021 # (0.226)(0.300)
Transcribed Image Text:A beverage company surveyed 310 customers about their favorite type of weather and preferred beverage. The results are displayed in the table. Water Coffee Tea Soft Drink Sunny 28 44 16 36 Stormy 14 22 18 8 Snowy 21 21 33 12 27 Cloudy 7 11 9 4 Is preferring water independent of favoring snowy weather? Justify mathematically. Yes, because 0.068 = (0.226)(0.300) Yes, because 0.021 (0.226)(0.300) No, because 0.068 = (0.226)(0.300) No, because 0.021 # (0.226)(0.300)
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