The table below shows the probability distribution of the potential winning prizes offered by the Etane store in its lottery. (Show or explain your method on the copy) Lot (in $) Probability 0 0,45 10 0,3 100 0,2 500 0,05 If a customer buys a single ticket. a) What is the probability that he will win exactly $100? (1 point) b) What is the probability that he will win at least $10? (1.5 points) c) What is the probability that he wins no more than $100? (1.5 points) d) What is the average payoff this customer can expect from a ticket purchase? (2 points)

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