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4 November, 18:24

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).

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Answers (2)
  1. 4 November, 18:44
    0
    Answer choice D
  2. 4 November, 18:48
    0
    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
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