hello

can you please write the sloution with details? i am quite dumb

the answer is 0.278 but i dont know how

thanks a lot

Exercise 3 You are given: (i) An individual automobile insured has annual claim frequencies that follow a Poisson distribution with mean A (ii) An actuary's prior distribution for the parameter has probability density function: f(A) = 0.5 5e-5X (iii) In the first policy year, no claims were observed for the insured. Determine the expected number of claims in the second policy year