CAN YOU PLEASE HELP ME WITH MATH 216 Assighment 2A, question 4 and 5?

Appreciate any help.

Thanks so much

Problem 4. Curling competition

Twenty curling teams (each representing a different country) are competing for gold, silver, and bronze medals in a week-long world tournament. In how many different ways can the curling teams win gold, silver, and bronze? [4 marks]

Problem 5. Lottery

In a popular local lottery, you must select 3 numbers (in any order) correctly out of a possible 25numbers to win the top prize. If you purchase one ticket (with your three numbers on it), what is the probability of your winning the top prize? Keep your final answer to six decimals. [4 marks]

Problem 6. Major Motors

Major Motors sells both new and used cars. Past sales records show the following customer purchasing behaviour: 60% of all sales tend to be of new cars, and 40% of used cars. When a new car is sold, there is a 50% chance that the customer will purchase an extended car warranty. When a used car is sold, there is a 75% chance that the customer will purchase an extended car warranty.

A new customer is about to purchase a car from Major Motors. As the salesman, you would like to look at all possibilities in terms of the person buying a used or new car with or without the extended warranty.

a.Draw a tree diagram to illustrate all possible customer purchase outcomes in terms of the customer buying a used or new car with or without the extended warranty. [3 marks]

b.Find the probability that the new customer will purchase a new car and the extended warranty. [4marks]

c.Find the probability that the new customer will purchase an extended warranty. [4 marks]

d.Determine if the two events "buys a new car" and "purchases an extended warranty" are independent. [4 marks]