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).

Question

Wilson Merritt

Mathematics

18 November, 06:18

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).

+3

Answers (2)

Know the Answer?

Buzzy · Answer 1

Answer choice D

Drew Stanton · Answer 2

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