3. The following data summarizes the grade that a student got in physics. Calculate

the student's weighted average for the course. (3 marks)

Category

Student's Grade

Category Weights

Tests

80%

25%

Assignments

95%

15%

Quizzes

85%

10%

Exam

80%

50%

4. Draw a tree diagram to illustrate the possible ways for Luna's family if they can travel from their home in North Bay to Toronto by bus or train, and then from Toronto to Halifax by bus, train, or plane. How many possible ways are there? (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. (3 marks)

Grade 9 = 12

Grade 12 = 9

5/12 = 0.42

6. In 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)

7. The director of a play, Ina, has found five flute solos, two guitar pieces, and three violin pieces that would work as background music for some of the scenes. There must be some violin music because it is mentioned in the play. In how many ways can she choose the music for the play? Note: She can have any arrangement of other music including no other music but must play either one, two or three violin pieces. (5 marks)

8. JD has a stable that has 15 horses available for trail rides. Of these horses, 6 are all brown, 5 are white, and the rest are black. If JD selects one horse at random, what is the probability that this horse will be:

a)black? (1 mark)

b)not black? (1 mark)

c)either black or brown? (1 mark)

9. During lunch hour where Aleksia and Oriana work, the fast-food restaurant served 52 orders of French fries, 36 hamburgers, and 34 drinks to a total of 68 customers. There were 23 customers who had a hamburger and French fries, 24 who had a drink and a hamburger, 22 who had a drink and French fries, and 15 who ordered all three items. Use a Venn diagram to determine how many customers ordered only French fries. (3 marks)

10. 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)