Solved:
Answered by AI, Verified by Human Experts
A marketing firm tracks data on grocery store visits. In one study, it finds that
A marketing firm tracks data on grocery store visits. In one study, it finds thatthe 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 0.20
Event A = A shopper buys bread.
Event B = A shopper buys cheese.
A and B are independent events if
-
A. the probability of buying bread or cheese is 0.12
B. the probability of buying bread and cheese is 0.12
C. the probability of buying bread or cheese is 0.80
D. the probability of buying bread and cheese is 0
Theprobabilityof buyingbreadandcheeseis 0.12.The correct answer is option B.What is probability?It is the chance of an event to occur from a total number ofoutcomes.The formula for probability is given as:Probability= Number of required events / Total number of outcomes.Example:The probability of getting a head in tossing a coin.P(H) = 1/2We have,To determine if events A and B areindependent,We need to check if the occurrence of one eventaffectsthe probability of the other event.If the events areindependent, the probability of both events occurring can be calculated bymultiplyingthe probabilities of each individual event.Now,Let A be the event that a shopper buysbread, and B be the event that a shopper buyscheese.Then, we know that:P(A) = 0.60 (the probability of buyingbread)P(B) = 0.20 (the probability of buyingcheese)If A and B areindependentevents, then the probability of both events occurring (i.e., the shopper buys both bread and cheese) is given by:P(A and B) = P(A) x P(B)Substitutingthe given values.P(A and B)= 0.60 x 0.20= 0.12This means that theprobabilityof a shopper buying both bread and cheese is 0.12 if events A and B areindependent.Therefore,Theprobabilityof buyingbreadandcheeseis 0.12.Learn more aboutprobabilityhere:brainly.com/question/14099682#SPJ5...