A marketing firm tracks data on grocery store visits. In one study, it finds that the probability that a shopper buys bread during a visit to the grocery store is 0.60, and the probability that a shopper buys cheese is 0.25. Event A A shopper buys bread. Event B- A shopper buys cheese. A and B are independent events if____.
Accepted Solution
A:
Answer: A and B are independent events if P(A∩B)=P(A).P(B)=0.15.Step-by-step explanation:Let A be the event that a shopper buys bread.Let B be the event that a shopper buys cheese.So, P(A∪B)=100Probability that a shopper buys bread during a visit to the grocery store =n 0.60P(A) = 0.60Similarly, Probability that a shopper buys bread = 0.25P(B) = 0.25Since A and B are independent then, [tex]P(A\cap B)=P(A).P(B)=0.60\times 0.25=0.15[/tex]So, A and B are independent events if P(A∩B)=P(A).P(B)=0.15.