Assume you are a data scientist working for the Victoria Police. According to the report from the accident investigation department, Mitsubishi EVO X seems to have more accidents than the other vehicles and they want to know some extra information about it. You have a dataset of the number of accidents related to Mitsubishi EVO X reported weekly. The dataset is as follows.

Time period Vehicle model Number of reported cases

Week 1 2021 Mitsubishi EVO X 9

Week 2 2021 Mitsubishi EVO X 9

Week 3 2021 Mitsubishi EVO X 7

Week 4 2021 Mitsubishi EVO X 12

Week 5 2021 Mitsubishi EVO X 8

Week 6 2021 Mitsubishi EVO X 11

Week 7 2021 Mitsubishi EVO X 8

Week 8 2021 Mitsubishi EVO X 8

We takeXas the time interval between two accidents in the following calculation.

Based on this dataset, now it is your duty to find out

PDF(X)

CDF(X)

E[X]

My idea is to use Poisson Distribution, But I am still confused how to do.