Variance from Coin Tossing

Probability Level 3

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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