Distribution

AMA1110 · Chapter overview

Distribution

Introduces probability distributions, binomial and Poisson count models, the normal distribution, and normal approximation to the binomial distribution.

Lessons

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1

Random Variables, PMF, PDF, CDF, Mean and Variance

Distinguishes discrete and continuous random variables, PMFs, PDFs, and CDFs, then calculates expectation and variance.

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2

Binomial Distribution

Recognizes binomial settings, translates a context into n, p, and X, and calculates exact binomial probabilities.

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3

Poisson Distribution

Recognizes Poisson count models, converts rates to the required interval, and calculates exact Poisson probabilities.

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4

Normal Distribution and Normal Approximation to the Binomial

Standardizes normal variables, reads tail probabilities, and approximates eligible binomial distributions using continuity correction.

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5

Sampling Distributions, the Central Limit Theorem, and Sample Variance

Explains sampling distributions of the sample mean and sample proportion, when to use the CLT, and how to calculate sample variance.

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Basic Mathematics I · AMA1110