Problem 1: Car accidents happen at a busy intersection at a rate of 2.5 accidents every week. Assuming that accidents occur independently of each other at that intersection, find the following: a) Probability that no accidents will happen in a specific week. b) Probability that no accidents will happen in a specific day. c) Probability that 3 or more accidents will happen in a week. d) Probability that 3 or more accidents will happen in one day. e) Given that 2 or more accidents occurred in a specific week, what is the probability that the number of accidents in that week was 4 or more. f) Given that 3 or more accidents occurred in a specific week, what is the probability that the number of accidents in the following week will also be 3 or more. g) Probability that exactly one accident will occur every day of a specific week.

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