Appendix A.25

Normal Approximation to Binomial

Use the normal distribution to approximate binomial probabilities with continuity correction.

Number of Trials (n)

Probability of Success (p)

X Value

Probability Type

Approximation Valid

≥ 10

μ = np:20

σ = √np(1-p):3.4641

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Exact Binomial

0.561

Normal Approximation

0.5574

Continuity Correction Applied

For P(X ≤ 20), we use P(X < 20.5). Z = (20.5 - 20) / 3.4641 = 0.1443