6)Traffic accidents on highways can be divided into two groups, with and without injury. The rate of occurrence of these

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6 Traffic Accidents On Highways Can Be Divided Into Two Groups With And Without Injury The Rate Of Occurrence Of These 1 (100.35 KiB) Viewed 20 times

6)Traffic accidents on highways can be divided into two groups, with and without injury. The rate of occurrence of these two types of accidents in a certain part of the highway in any year is given as 0.011 (injured) and 0.051 (uninjured) per km, respectively. Suppose both types of accidents follow the Poisson process along the highway. The highway length between the two cities is given as 110 km. a) Calculate the probability of exactly 2 injury-free accidents in a given year. b)Calculate the probability of at most 5 accidents in a given year. Hint: The possible outcomes for this question are within the values given below 0.4457 0.3243 0.2223 0.1437 0.0876 0.0504 0.0274 0.0141 0.0069 0.0032 0.0842 0.0576 0.0380 0.0242 0.0149 0.0089 0.0052 0.0029 0.0016 0.0009