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Question 1: Expected Value A scratch off discount ticket has three different discount values. A 10% discount, a 25% discount and a 50% discount. Each

Question 1: Expected Value

A scratch off discount ticket has three different discount values. A 10% discount, a 25% discount and a 50% discount. Each of the values is equally probable.

a) What is the expected discount? Show your work.

b) This is called a uniform probably distribution, explain why that is the case.

c) Make a quick sketch of this uniform probability distribution graph.

d) if you had four of these discount cards and were allowed to use them at the same time, what would you expected discount be?

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