1) Every day, Jorge buys a lottery ticket. Each ticket has probability 0.29 of winning a prize. After 7 days, what is the probability that Jorge has won at least one prize?

Write only a number as your answer. Round your answer to four decimal places (for example: 0.7319). Do not writea percentage.

2) The probability that a certain make of car will need repairs in the first six months is 0.39 . A dealer sells 4 such cars. What is the probability that at least one of them will require repairs in the first six months?

3)A fast-food restaurant chain has outlets in the United States. The following table categorizes them by city population size and location, and presents the number of restaurants in each category. A restaurant is to be chosen at random to test market a new menu.

PopulationNortheast SoutheastSouthwestNorthwest

Under 50,00030 351972

50,000-500,0006096 70 35

Over 500,000 14625 30103

Given that the restaurant is in the Northwest, what is the probability that it is located in a city with a population more than 50,000?