An elevator can carry up to 3500 pounds. The manufacturer has included a safety margin of 500 pounds and lists the capacity as 3000 pounds. The building's management seeks to avoid accidents by limiting the number of passengers in the elevator. If the weight of the passengers using the elevator is distributed N(155, 625), what is the maximum number of passengers who can use the elevator if the odds against exceeding the rated capacity are to be less than 3/10, 000? Please show work