Question# 2: Three car brands A, B, and C have all the market share in a certain city. Brand A has 20% of the market share, brand B has 30%, and brand C has 50%. The probability that a brand A car needs a major repair during the first year of purchase is 0.05, the probability that a brand B car needs a major repair during the first year of purchase is 0.10, and the probability that a brand C car needs a major repair during the first year of purchase is 0.15. a. What is the probability that a randomly selected car in the city needs a major repair during its first year of purchase? b. If a car in the city needs a major repair during its first year of purchase, what is the probability that it is a brand A car? Question# 3 Two events A and B have the following probabilities: P[B] = P[A n B) = X 3 PLA U B) = Compute PIBIAL? Question# 4: Assume that we toss three coins and define two events A and B, where A = {is the event of getting all tails), B = {is the event of getting at most two heads; a. Find A and B with their probabilities? b. Are events A and B mutually exclusive events? c. Are events A and B independent events