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Let X be the number of accidents per week at the Hillsborough Street roundabout by the NCSU Bell Tower. Assume X varies with mean 2.2 and standard deviation 1.4. Note that X has only small whole-number values so the distribution of X cannot be reasonably approximated with a normal model.
Question 1. Let x be the mean number of accidents per week at the roundabout during a year (52 weeks). What is the probability that x is less than 2? (Use 4 decimal places in your answer).
Question 2. What is the probability that there are fewer than 100 accidents at the roundabout in a year? (Use 4 decimal places in your answer).
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You might find the probabilities using the Table or software of your choice. Please explain how you obtained your results.
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