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The average number of expected successes in trials.
How much the actual results differ from the mean.
As X∼B(n,p)X \sim B(n, p)X∼B(n,p) for nnn trials and success probability ppp.
Mean: E(X)=npE(X) = npE(X)=np.
Variance: Var(X)=np(1−p)Var(X) = np(1-p)Var(X)=np(1−p).
Results gather more closely around the mean.
Mean: E(X)=10×0.5=5E(X) = 10 \times 0.5 = 5E(X)=10×0.5=5.
Variance: Var(X)=2.5Var(X) = 2.5Var(X)=2.5.
Mean: E(X)=6E(X) = 6E(X)=6.
Variance: Var(X) = n * p * (1 - p) = 4.2.
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