A large freight elevator can transport a maximum of 10,000 pounds (5 tons). Suppose a load of cargo containing 45 boxes must be transported via the elevator. Experience has shown that the weight Y of a box of this type of cargo follows a probability distribution with mean μ = 200 pounds and standard deviation σ = 55 pounds. What is the probability that all 45 boxes can be loaded onto the freight elevator and transported simultaneously? Find ∑⁴⁵_{i = 1} y_i ≤  10,000