Q2 (a) Azli and Iman are both traveling for Batu Pahat to Melaka on daily basis. The average travelling time for both them is 98.4 minutes with a standard deviation of 7.8 minutes and 110.7 minutes with standard derivation of 29.8 minutes respectively. Assume that the traveling population are approximately normal distributed and random samples of traveling time of Azli and Iman are 36 and 49 respectively. (i) Calculate the probability of Azli's average travelling time to be more than 100 minutes. (3 marks) (ii) Find the probability of Imans average travelling time to be in between 105 and 115 minutes. (4 marks) (iii) Calculate the propabality that Iman's travelling time is 13 mins more than Azli's travelling time. (5 marks) |