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The statement that is true about whether A and B are independent events is D. A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25.
Let A be the event that the person rides the bus to school, then:
P(A) = 75/300
P(A) = 0.25
Let B be the event that the person has 3 or more siblings, then:
P(B) = 24/300 = 0.25
P(A/B)=9/24
P(A/B)=0.375
Since P(A/B)=0.375 is different from P(A)=0.25 the events are not independent.
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