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Stack #133334
| 1 | 2 | 3 |
|---|---|---|
| population, data set | (blank) | |
| experimental units, sample elements | (blank) | |
| frequency | (blank) | |
| relative frequency | (blank) | |
| Empirical Bell Rule | data in normal distributions | about 68% within 1 σ of μ, about 95% within 2 σ of μ, about 99% within 3 σ of μ |
| Chebyshev's Theorem | at least 1 - 1/k^(2) measurements | within k σ of μ |
| Binomial μ, σ | μ = E(x) = np | σ = sqrt(npq) |
| Binomial distribution, probability | the x successes in n trials | P(x = k) = (nCk) p^(k) q^(n - k) |
| Poisson μ, σ | μ = np | σ = sqrt(μ) |
| Poisson distribution, probability | the x occurrences of random events in a given period with a given average μ | P(x = k) = μ^(k) e^(-μ) 1/(k!) |
| Poisson Theorem | n > 30 and μ = np < 7 | the binomial probabilities are approximately the Poisson probabilities |
| Hypergeometric μ, σ | μ = n M 1/N | σ = sqrt((n M 1/N) ((N - M) 1/N) ((N – n) 1/(N - 1))) |
| Hypergeometric Probability | the n sample with k successes from an N population of M successes | P(x = k) = (MCk) ((N - M)C(n - k)) 1/(NCn) |
| Central Limit Theorem | n > .05 N; mean μ, standard deviation σ; original population is normal or N ≥ 30 | the sampling distribution of x is approximately a normal distribution with E(x) = |
Created by:
snakku