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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.

Sagot :

Hence, statement for survey of children which is true about whether A and B are independent events or not is A and B are not independent events because,

[tex]P(A|B) = 0. 18 \\P(A) = 0. 4.[/tex]

What is the independent event?

Independent events are those events whose occurrences does not depends on the other events.

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 table for the survey is given as,

  • 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.

Here, A is the event that a person has 2 siblings, and the B is the event, that a person does not have pet.

As, A and B are independent events then,

[tex]P(A|B)=P(A)[/tex]

Here, the values we have,

[tex]P(A|B) = 0. 18 \\P(A) = 0. 4.[/tex]

Thus, the statement which is true about whether A and B are independent events or not is A and B are not independent events because P(A∣B) = 0. 18 and P(A) = 0. 4.

Learn more about the independent events here;

https://brainly.com/question/12700357

chrisaderson97

Answer:

A and B are independent events because P(A∣B) = P(A) = 0.18.

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