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8 Cards in this Set
- Front
- Back
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Binomial distribution conditions for use |
Trials are independent Fixed value of n |
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Poisson distribution (∆ = lambda) |
P(X=r) = (e^-∆ × ∆^r) ÷ r! Where ∆ is the mean |
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Poisson distribution conditions for use |
The occurrences are random and independent There is a known, constant overall mean rate for the occurrences |
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Poisson approximation to binomial distribution conditions for use |
n is large (>50) P is small (<0.1) nP is not so large that it is easier to calculate the binomial probability (<11) |
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Distribution of 2 independent random variables |
If X~Po(m) and Y~Po(n) Then X+Y~Po(m+n) |
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Mean (£ = sigma) |
£fx ÷ n |
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Variance (£ = sigma, # = mean) |
n ÷ (n - 1) × (((£fx^2) ÷ n) - #^2) |
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Normal distribution table conversion (& = mu, £ = standard deviation) |
If X~N(&, £^2) Z = (X-&) ÷ £ |
