Question

A 5-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).

Answer 1

Answer:

Answer choice D

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

To see if two events are independent you can use the formula P(a|b) = P(a)

In this problem P(C|Y) = 35/75 = .4667 and P(C) = 110/300 = 3.667,

therefore C and Y are not independent events because P(C∣Y) ≠ P(C).

The answer is choice D