Is the problem 3 games played in 2.5 hours and 9 games played in 7.5 hours. proportional or not proportional?

Does the point (1, sqrt 7) lie on circle shown.

Let x have probability generating function gx (s) and let un generating function u(s) of the sequence uo, u1, satisfies p(x > n). show that the (1- s)u(s) = 1 - gx(s), whenever the series defining these generating functions converge.

329 people went to an amusement park. $906 was made that day. $1.5 per kid. $4 per adult. how many kids and adults went?