May I seek your help for the following questionsabout loss models and probability? Thank you.

We consider a nonlife insurance which covers a certain type of loss. You are given that I The insurance has an ordinary deductible of $1000 per loss. 0 The loss amount in a loss event has lognormal distribution with parameters ,u = 5 and a' = 2. 0 The number of loss events (denoted by N } has a distribution which belong to (a, b, 0)-class of distribution. . P(N,, = 2) = 0.270671, P(Np = 3) = 0.130447, P(Np = 4) = 0.090224. Here, Np denotes the number of claim reguests received. Question Suppose that the insurance company decides to increase the ordinary deductible to $2000, calculate the probability that there will be no claim requests made by the policyholder