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3. The number of car accidents that occurs in a small town is known to be a Poisson random variable with a mean of 2

3. The number of car accidents that occurs in a small town is known to be a Poisson random variable with a mean of 2 per week. (a) Find the probability that there will be more than 2 accidents occur in a selected week. (3 marks) (b) Find the probability that there will be at most one accident occur in a period of 3 weeks. (4 marks)

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2. Records of a hair salon show that 70% of the customers are females. (a) What is the probability that among 7 customers, at least 5 of them are females? (3 marl-cs} (a) What is the probability that among 6 customers, less than 3 of them are males? (3 marks} catfihmllfifauglll

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