An insurance company offers policies for fire insurance. Achmed holds a policy according to which he gets full refund for that part of the claim which exceeds \(\$ 3000\). He gets nothing for a claim size less than or equal to \(\$ 3000\). The company knows that the average claim size is \(\$ 5642\).

(1) What is the mean refund Achmed gets from the company for a claim if the claim size is exponentially distributed?

(2) What is the mean refund Achmed gets from the company for a claim if the claim size is Rayleigh-distributed?