QUESTION 3 (15 marks) (a) Syakira must pass through 15 traffic lights on her way to work. She has probability 0.6 of being stopped at any given traffic light. If she is stopped at more than 11 traffic lights, she will be late for works. (i) Based on the explained situation, give one reason why this situation suits Bernoulli Trial. (1 mark) (ii) Find the probability that Syakira will be late for work on a given day. (3 marks) (iii) Hence, find the probability that Syakira is on time for work each day of a 5 day week. (3 marks) (iv) Syakira wants to increase the probability in (b) to at least 80%. She decides to leave home a little earlier, so she must now be stopped at more than 12 traffic lights in order to be late. Has Syakira achieved her goal?. Justify your answer. (4 marks)