Problem 2 [20 pts]: Pasta Time You are going to a university funded party where pasta dishes are being served. 35% of the dishes came from Alfredo's. 25% came from Avellino's. The rest of the dishes came from Nick's. Each restaurant delivered pasta dishes With marinara or without marinara sauce. 80% of Al- fredo's dishes have marinara sauce. Only 50% of Avellino's dishes have marinara sauce. 30% of Nick's dishes have marinara sauce. i. What is the probability a random dish is both a marinara dish and came from Nick's? ii. What is the probability a random pasta dish has marinara sauce? iii. Someone wants a dish from Nick's. They return to the table and their pasta dish does not have marinara sauce. What is probability that dish came from Nick's