Q] (a) On a certain stretch of the East Coast Expressway, on average three birds per week are killed colliding with passing vehicles. The highway authority decides that if the probability of more than three birds per week being hit is more than 0.1, a special committee will be appointed to deal with the problem. Determine whether the special committee will be appointed or not. (5 marks) (b) It is known that two percentage of laptop sold by ABC supplier malfunction within three years. The supplier o'ers a warranty period of three years. (i) Find the probability that, out of 20 laptop, at least three laptop malfunction within the warranty period. (4 marks) (ii) Determine the least number of laptop, such that the probability that at least one laptop malfunctions within the warranty period is more than 0.9995. (5 marks) (iii) Using a suitable approximation, calculate the probability that, out of 1000 laptop, there are between 10 to 18 laptop (inclusive) malfunction within the waranty period. Write your answer in 3 signicant figures. (6 marks)