Question: E(X)is the average of the random variableXwhile ( )measures its `spread' around this average - the higher the variance, the higher the probability thatXis far

E(X)is the average of the random variableXwhile()measures its `spread' around this average - the higher the variance, the higher the probability thatXis far fromE(X). Also,Var(X)is always nonnegative, i.e., zero or positive.

Can you think of a random variable Z with distribution on {1,2,3} which has zero variance, i.e., zero spread? Is this variable really random? What are the other two distributions for Z which have zero variance?

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