BUS 271 Final Exam Formula Sheet (last semester).pdf

# BUS 271 Final Exam Formula Sheet (last semester).pdf -...

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Final Exam Formula Sheet Population Mean µ = ∑ 𝑥 𝑖 𝑁 Sample Mean 𝑥̅ = ∑ 𝑥 𝑖 𝑛 Population Variance 𝜎 2 = ∑(𝑥 𝑖 − µ) 2 𝑁 Sample Variance ? 2 = ∑(𝑥 𝑖 − 𝑥̅) 2 𝑛 − 1 Location of Percentile 𝑙 = 𝑛 ( 𝑃 100 ) Z-score 𝑧 = 𝑥 − µ 𝜎 Combinations 𝑛 ? 𝑥 = 𝑛! (𝑛 − 𝑥)! 𝑥! Permutations 𝑛 𝑃 𝑥 = 𝑛! (𝑛 − 𝑥)! Probability of a Union 𝑃(? ∪ ?) = 𝑃(?) + 𝑃(?) − 𝑃(? ∩ ?)

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Expected Value of a Discrete Random Variable µ = 𝐸[𝑋] = ∑[𝑥 𝑖 ∙ 𝑝(𝑥 𝑖 )] Variance of a Discrete Random Variable 𝜎 2 = 𝑣𝑎?(𝑥) = ∑[(𝑥 𝑖 − µ) 2 ∙ 𝑝(𝑥 𝑖 )] Binomial Probability Distribution Function
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