Auto accidents. The number of accidents per week at a hazardous intersectionvaries with

Chapter 0, Problem 11.41

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Auto accidents. The number of accidents per week at a hazardous intersectionvaries with mean 2.2 and standard deviation 1.4. This distribution takes onlywhole-number values, so it is certainly not Normal.(a) Let x be the mean number of accidents per week at the intersection during ayear (52 weeks). What is the approximate distribution of x according to thecentral limit theorem?(b) What is the approximate probability that x is less than 2?(c) What is the approximate probability that there are fewer than 100 accidentsat the intersection in a year? (Hint: Restate this event in terms of x.)

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