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The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. This distribution is discrete and so is certainly not normal.
a) Let be the mean number of accidents per week at the intersection during a year (52 weeks). What is the approximate distribution of according to the central limit theorem?
b) What is the approximate probability that is less than 2?
c) What is the approximate probability that there are fewer than 100 accidents at the intersection in a year?
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