Solution

Let $G$ be random variable for gain ( in thousand dollars ) of insurance company.

Let z be the premium ( in thousand dollars ) that should be charged.

Given: $p(G=z)=0.99, ~~~ p(G=z- 50)= 0.01$

p(G=z)=0.99,   p(G=z−50)=0.01 

Answer

$ 1500