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Consider the follow probability distribution. x -2 -1 0 1 2 p(X=x) 0.10 0.20 0.40 0.20 0.10 Show that this is a valid probability distribution

Consider the follow probability distribution. x -2 -1 0 1 2 p(X=x) 0.10 0.20 0.40 0.20 0.10 Show that this is a valid probability distribution using the two properties from lecture. Find _X Find _100X Based on (ii) and (iii), what can you say about the value _aX , where a is any number. What is P(X = 0)? What is P(X > 0)? What is P(X 0)? What is P(X -2)? What is P(X > 2)

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