plz solve it by yourself dont copy from any online resource also plz solve on paper

2. The number of accidents incurred by insured drivers in a given day [24 hoursT starting from 6:00am} is a Poisson process with rate function 1+ie degree a nigieia Am ' isgeincsrgia a alsgrgsd if an accident occurs, the probability that the damage amount exceeds the de- ductible is [1.25. Suppose that the amount of each claim is uniformly distributed on [$2ll, $50M] and all claims are independent. (a) Find the probability that there are no accidents that are required to claim during 5pm to 3pm. (b) Find the average total amount of the claims requested in 5 hours from 3am. [e] Let N be the number of claims with claim amount less than $3111"! during lam to 2pm. Find the distribution of N. [d] It is observed that the accidents comes from seniors with probability 2,-'3 during 11am to 4:00pm and with probability 1,-"3 during other time period. Let X; denote the number of accidents incurred by insured seniors drivers at t hours starting from 6:00am. Explain why {X[}u5153 is a nonhomogenerons Poi-In process and nd the rate function A1 (at)