10. A 2011 lottery is being held in the tri-city area (Kitchener, Waterloo, and Cambridge). Suppose that Kitchener makes up 49% of the tri-city population, Cambridge makes up 29% of the population, and Waterloo makes up the remainder. There are a total of 5000 tickets to be sold at $3 per ticket with possible payouts of $0, $2 or $10. A Kitchener ticket loses 52% of the time and wins $2 36% of the time, while a Cambridge ticket wins $2 40% of the time and $10 10% of the time, finally a Waterloo ticket wins $10 7% of the time and loses 59% of the time. (a) If the tickets are to be distributed according the population of each city, how many tickets will be available in Kitchener? (b) What is the probability that a Cambridge ticket wins money? (c) What is the probability of losing? (d) If a ticket wins, what is the probability that it was purchased in Kitchener