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Mathematics, 26.04.2021 21:00 quintencoffman2

A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet. A 6-column table has 3 rows. The first column has entries has a pet, does not have a pet, total. The second column is labeled 0 siblings with entries 29, 31, 60. The third column is labeled 1 sibling with entries 84, 45, 129. The fourth column is labeled 2 siblings with entries 27, 18, 45. The fifth column is labeled 3 or more siblings with entries 10, 6, 16. The sixth column is labeled Total with entries 150, 100, 250.

Which statement is true about whether A and B are independent events?

A and B are independent events because P(A∣B) = P(A) = 0.18.
A and B are independent events because P(A∣B) = P(A) = 0.4.
A and B are not independent events because P(A∣B) = 0.4 and P(A) = 0.18.
A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.

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