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Mathematics, 01.10.2019 02:20 garciagang0630

A5-column table has 4 rows. the first column has entries a, b, c, total. the second column is labeled x with entries 45, 20, 25, 90. the third column is labeled y with entries 30, 10, 35, 75. the fourth column is labeled z with entries 60, 25, 50, 135. the fifth column is labeled total with entries 135, 55 110, 300.
which statement is true about whether c and y are independent events?

c and y are independent events because p(c∣y) = p(y).
c and y are independent events because p(c∣y) = p(c).
c and y are not independent events because p(c∣y) ≠ p(y).
c and y are not independent events because p(c∣y) ≠ p(c).

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