A study at an amusement park found that, of 10,000 families at the park, 1670 had brought one child, 2110 had brought two children, 2440 had brought three children, 1420 had brought four children, 1010 had brought five children, 620 had brought six children, and 730 had not brought any children. Find the expected number of children per family at the amusement park. The expected number of children per family is 2.766 (Round to the nearest tenth as needed.)