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Mathematics, 10.12.2020 19:00 ajbyrd911

The following two-way table shows the distribution of a random sample of travelers and their preferences for accommodations and method of travel. A 4-column table with 3 rows. Column 1 has entries home sharing, hotel, total. Column 2 is labeled drive with entries 16, 64, 80. Column 3 is labeled fly with entries 4, 16, 20. Column 4 is labeled total with entries 20, 80, 100. The columns are titled method of travel and the rows are titled accommodations.

Suppose a traveler is selected from this sample at random. Let event A = home sharing and event B = fly. Are events A and B independent?

No, P(A) = P(A|B).
No, P(A) ≠ P(B|A).
Yes, P(A) = P(A|B).
Yes, P(A) ≠ P(B|A).

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