Chapter Probability

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QUES'I'IDH 4 a) bi Cl Hovrr many different arrangements can be fon'ned by using all letters of word QUARANTINE if the rst letter must be \"R\"? {2 marks} There are two events, X and Y with P{X} = {135 and Pff] = [1.4. i} le and Y are independent events, illustrate the events using Venn Diagram. {5 marks} ii} Find F {X' and Y}. {1 mark} iii} Find P {X or Y'}. [1 mark} An insurance company classies drivers as lowrisk, medium-nsk and high-nsk Of those insured, 6D% are lowrisk, 3% are mediumrisk and 1D% are highrisk. After a study, the company nds that during a year period, 1% of the low-risk drivers had an accidentr 5% of the medium-risk drivers had an accident and 9% oi the highrisk drivers had an accident. i} [eravrr a tree diagram to illustrate the above situation. {3 marks} ii} Find the probabilityr that the drivers did not have an accident {2 marks} iii} Given that the drivers had an accident: what is the probability that they insured are mediumrisk. {3 marks}