Frequency Distributions and Histograms
MAT1272 Statistics
Formula Sheet
Mean: [pic] (population), [pic](sample),
Variance and standard deviation: [pic]
variance [pic] (population), [pic] (sample)
standard deviation [pic] (population), [pic] (sample)
Discrete probability distributions: mean [pic] (discrete random variable)
standard deviation [pic]
Binomial distribution: mean [pic], standard deviation: [pic],
binomial formula [pic]
Counting: permutations: [pic], permutations[pic], combinations [pic],
Probability: conditional probability: [pic]
multiplication rule: [pic] or [pic]
multiplication rule for independent events: [pic]
events A and B are independent if: [pic] or [pic]
addition rule: [pic]
addition rule for mutually exclusive events: [pic]
events A and B are mutually exclusive if: [pic]
Sampling distribution of [pic]: mean [pic], standard deviation: [pic]
Correlation coefficient: [pic],
where [pic], [pic], [pic]
Linear Regression: [pic], where [pic] and [pic]
Normal Distributions: convert x to z: [pic] convert z to x: [pic]
Sampling Distribution of [pic]: convert [pic] to z: [pic]
Hypothesis testing, [pic] unknown: [pic], [pic], [pic]
Goodness-of-fit test: [pic], [pic], [pic]
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