During the Covid-19 pandemic, the University Hospital of the West Indies, in any given week, sees patients being positive with the coronavirus following a Poisson frequency distribution. 5 persons are tested positive on average during a given week. If a person is tested positive, based on the severity of the virus, the cost amount to the hospital has the following distribution:
X ('000') fX(x)
150 0.7
200 0.2
300 0.1

During a given week:
i) Calculate the expected aggregate cost