A book publishing company surveyed 450 customers about their favorite genre and preferred season. The results are displayed in the table. Winter Spring Summer Fall Mystery 75 Romance 14 61 Sci-Fi 23 Non-fiction 28 222 25 32 48 24 36 8 12 22 16 24 Is preferring winter independent of favoring romance books? Justify mathematically. Yes, because P(winter) = P(romance | winter) Yes, because P(winter) = P(winter | romance) O No, because P(winter) P(romance | winter) O No, because P(winter) P(winter | romance)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A book publishing company surveyed 450 customers about their favorite genre and preferred season. The results are displayed in the table.
Winter Spring Summer Fall
Mystery
75
Romance
14
61
Sci-Fi
23
Non-fiction
28
222
25
32
48
24
36
8
12
22
16
24
Is preferring winter independent of favoring romance books? Justify mathematically.
Yes, because P(winter) = P(romance | winter)
Yes, because P(winter) = P(winter | romance)
O No, because P(winter) P(romance | winter)
O No, because P(winter) P(winter | romance)
Transcribed Image Text:A book publishing company surveyed 450 customers about their favorite genre and preferred season. The results are displayed in the table. Winter Spring Summer Fall Mystery 75 Romance 14 61 Sci-Fi 23 Non-fiction 28 222 25 32 48 24 36 8 12 22 16 24 Is preferring winter independent of favoring romance books? Justify mathematically. Yes, because P(winter) = P(romance | winter) Yes, because P(winter) = P(winter | romance) O No, because P(winter) P(romance | winter) O No, because P(winter) P(winter | romance)
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