Automobile insurance policies

  An insurance agency is reviewing its sale of automobile insurance policies for the coming year. Using historical data the agency determines losses on each policy have a mean of $1000 and a standard deviation of $200. If the insurance agency sells 100 such policies at the premium of $1050 each, what is the probability the insurance agency loses money selling the policies? (Hint - Let 𝑋𝑖 denote the loss on the 𝑖th policy, 𝑖 = 1, … , 100. The average loss on the policies is 𝑋̅. What average loss causes the agency to lose money?)