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 to break even.

Given:

p(G=z-800)=0.01, ~~~ p(G=z-250)= 0.05

p(G=z)= 1- 0.01-0.05=0.94


step 2





Answer

$ 20500

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