Cars arrive at a toll booth at a mean rate of 7 cars every 10 minutes according to a Poisson process. Find the distribution of the waiting time and the 5th toll is collected. Solution ?=1/ ? = 1/10 The density function of waiting time is given by f(x) = (1/10)e^-x/10.

1. Cat andMouse
In the video game Cat and Mouse, you receive 4 points for each catcaught and 11 points for
each mouse caught. What scores areimpossible to get in this game?
Extension: What pattern do you see in the impossiblescores?
Solution
the scores that are impossible to get are highlighted in red: 1, 2, 3, 4, 5, 6,7, 8, 9, 10,
11, 12,13, 14, 15, 16, 17,18, 19, 20, 21, 22, 23, 24,25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36,
37, 38, 39, 40,41...and the rest are possible the pattern has something to do with groups of 4 i
believe, but I'mnot quite sure myself so I don't want to lead you astray. Hopefullythis will start
to help out. Sorry I couldn't be more helpful, Good Luck!