Please use Matlab.

11. Suppose that claims are made to an insurance company according to a Poisson process with rate 10 per day. The amount of a claim is a random variable that has an exponential distribution with mean $1000. The insurance company receives payments continuously in time at a constant rate of $11,000 per day. Starting with an initial capital of $25,000, use simulation to estimate the probability that the rm's capital is always positive throughout its rst 365 days