Q:

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.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.

Accepted Solution

A:
Answer: Fourth option is correct.Step-by-step explanation:Since we have given that A be the event that the person has 2 siblings.B be the event that the person does not have a pet.Since they are not independent events.Because if P(A|B) = 0.18in case if they are independent events then, P(A|B) = P(A).But here P(A) = 0.4So, they are not independent events.Hence, Fourth option is correct.