6. Auto accidents. The number of accidents per week at a hazardous intersection varies with mean ,u : 2.2 and standard deviation 0 : 1.4. This distribution only takes whole-number values, so it is certainly not Normal. (a) Let _x be the mean number of accidents per week at the intersection during a year (52 weeks). What is the approximate distribution of _x according to the Central 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 accidents at the intersection in a year? (Hint: Restate this event in terms of _x.)