Solution Let GG be random variable for gain ( in thousand dollars ) of insurance company.Let zz be the premium ( in thousand dollars ) that should be charged to break even.Given:p(G=z-800)=0.01, ~~~ p(G=z-250)= 0.05p(G=z−800)=0.01, p(G=z−250)=0.05p(G=z)= 1- 0.01-0.05=0.94p(G=z)=1−0.01−0.05=0.94Answer$ 20500