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Podcast Probability distributions Unit 4

Sampling & Populations

  • Sample proportions
  • Sampling distribution – small populations
  • Sampling distribution – large populations
  • Sampling distribution – normal distribution approximation
  • Mean & variance of a sample proportion
  • Sampling distribution – comparing approximations
  • Confidence intervals
  • Margin of error

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Podcast Probability distributions Unit 4

Continuous probability distributions

  • Probability density functions
  • Calculating probabilities
  • Median value
  • Mean value
  • Variance
  • Cumulative probability distributions

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Podcast Probability distributions Unit 4

The binomial distribution

  • The coin toss – three coins
  • The coin toss – four coins
  • The binomial probability distribution
  • Rolling dice
  • How many trials?
  • Using the TI nSpire
  • Graph of binomial distribution
  • Mean & standard deviation

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Podcast Probability distributions Unit 4

The normal distribution

  • Continuous probability density functions
  • The normal distribution
  • Calculating probabilities
  • Z tables
  • Finding values from a probability

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Podcast Probability distributions Unit 4

Discrete probability distributions

  • Probability distributions
  • Discrete random variables
  • Expected values (mean)
  • Variance
  • Linear functions – mean & standard deviation
  • Standard deviation

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Probability Probability distributions Unit 4

Six Dice One-Roll Yahtzee (in super slow motion) – Numberphile