4. The number of traffic accidents that occur in a particular road follows a Poisson distribution....

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4. The number of traffic accidents that occur in a particular road follows a Poisson distribution. As reported, 5 traffic accidents happen every 70 days on average. Please calculate the probability of that (a) there will be exactly a traffic accident in a particular day; (3 marks) (b) there will not be more than 2 traffic accidents during a particular week (7-day). (3 marks) (c) there will be more than 3 traffic accidents during a particular month (30-day). (4 marks) 4. The number of traffic accidents that occur in a particular road follows a Poisson distribution. As reported, 5 traffic accidents happen every 70 days on average. Please calculate the probability of that (a) there will be exactly a traffic accident in a particular day; (3 marks) (b) there will not be more than 2 traffic accidents during a particular week (7-day). (3 marks) (c) there will be more than 3 traffic accidents during a particular month (30-day). (4 marks)