ic accidents on highways can be divided into two groups: injured and uninjured. In any given year, the rates of occurring of these two types of accidents in a certain part of the highway are given as 0.01X (injured) and 0.05X (injury-free) per km, respectively. Supposial that the occurring of both types of accidents along the highway follows a Poisson process. (Instead of X, type the last number of your student number. For example, if the last number of your student nu
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Traffic accidents on highways can be divided into two groups: injured and uninjured. In any given year, the rates of occurring of these two types of accidents in a certain part of the highway are given as 0.01X (injured) and 0.05X (injury-free) per km, respectively. Supposial that the occurring of both types of accidents along the highway follows a Poisson process. (Instead of X, type the last number of your student number. For example, if the last number of your student number is 4, the accident rates will be 0.014 and 0.054, respectively, and the length of the highway between the two cities will be 140 km)
- Calculate the
probability of exactly 2 injury-free accidents in a given year. - Calculate the probability of up to 5 accidents in a given year .
X=8
Tip: The possible results of 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 |
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