Alexis has an internship in Indianapolis for the summer. Each weekend, she decides to visit a new coffee shop. She likes each new coffee shop with probability 0.4, independent of all the other shops she visits. Alexis has liked 2 of the coffee shops so far, and she has visited 4. Let Z be a random variable representing the number of coffee shops that Alexis must visit until she likes 3 coffee shops. Then, is it true that P{Z >7 |Z > 4}: P{Z>3}? -: :- Yes, because of the definition of conditional probability. Yes, because Alexis's visits to each coffee shop are independent. -: :- Yes, because of the memoryless property. -: :- NO