Tomas and Anges are looking into buying the warranty for their cars. They are both buying the same model, so they are working together. The car has a mean lifetime of 240,000 km with a standard deviation of 40,000 km. The warranty is for cars that last up to two standard deviations than the mean.

a)What is the probability that they will buy a car that requires a warranty?(2 marks)

b)If 2,000,000 cars are sold by the company and the cost of each warranty is $5,000, what is the expected cost to the company? (2 marks)

6)n the Anchali recreational hockey league, 50 players scored 25 goals, 30 players played all 20 games and 20 players came to all 20 games and scored 25 goals. There were 200 players in the league. There are awards at the season-ending banquet. What is the probability of one of the players who scored 25 goals and played all 20 games winning an award? (3 marks)

5)On Joseph and Dave's baseball team of 12 people is to be selected from a pool of 10 grade eleven students and 9 grade twelve students. Determine the probability that the team will have five grade 12 students.