Variance from Coin Tossing

Let XX be the random variable denoting the number of heads out of 100 independent, fair coin tosses. What is the variance of XX?

Details and assumptions

The variance of a random variable measures the extent to which values are spread out. It can be calculated as Var(X)=(XXˉ)2f(x) \mbox{Var}(X) = \sum (X- \bar{X})^2 f(x) .

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