Question 3 (10 marks) Claims form a compound Poisson process with λ=2 and individual claim density function f(x)=e −2x + 2 3 ​ e −3x ,(x>0) (i) Find p 1 ​ (ii) If a safety loading of 80% is used, find the premium rate, c. (iii) Find M X ​ (r). (iv) Find the probability of ruin, ψ(u).