Question

An amusement park, Dino World, considering adding some new attractions, conducted a study over several typical days and found that, of 10,000 families entering the park, 1020 brought just one child (defined as younger than age 12), 3370 brought two children, 3510 brought three children, 1340 brought four children, 510 brought five children, 80 brought six children and 170 brought no children at all.

a) Find the expected number of children per family attending the park.

b) If the expected number is greater than 2.9 they will add more attractions. Will then add more?