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Mathematics, 04.02.2021 02:20 montgomerykarloxc24x

The following two-way table shows the distribution of daily traffic and weather issues in a certain large city. A 4-column table with 3 rows. Column 1 has entries bad weather, good weather, total. Column 2 is labeled heavy traffic with entries 25, 55, 80. Column 3 is labeled Light traffic with entries 5, 15, 20. Column 4 is labeled Total with entries 30, 75, 100. The columns are titled daily traffic and the rows are titled weather conditions.

Suppose a day from this city is selected at random. Let event A = heavy traffic and event B = bad weather. Are events A and B independent?

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

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