STU2004 Applied Probability 1

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          • Bayes' Theorem
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          • Cumulative Distribution Function
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          • Probability Mass Function
          • Assessment
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            • Normal Distribution
            • Z-Score
          • Bernoulli Distribution
          • Binomial Distribution
          • continuity correction
          • Exponential Distribution
          • Geometric Distribution
          • Memoryless Distribution
          • Poisson Distribution
          • Probability Density Function
          • Probability Distribution
          • Uniform Distribution
          • Deterministic
          • Empirical law of large numbers
          • Tosses of a coin (graph)
          • Alternative Hypothesis
          • Chi-Square Test
          • Hypothesis Test
          • Null Hypothesis
          • P-value
          • Significance Level
          • Unit Interval
          • Joint Probability
          • Joint Probability Distribution
          • Marginal Probability
          • Combination Operator
          • Congruence Generator
          • Linear Congruential Generator
          • Multiplicative congruential generator
          • Pseudo random numbers
          • Quadratic Congruential Generator
          • Random Number Generation
          • Random Numbers in 0, 1
          • True random numbers
          • Categorical Variable
          • Continuous Random Variable
          • Discrete Random Variable
          • Discrete Uniform Random Variable
          • Expected Value
          • Geometric Random Variable
          • Independence
          • Mutually Exclusive Events
          • Poisson Random Variable
          • Probability Function
          • Random Variable
          • Standard Deviation
          • Variance
          • Average
          • Equally likely events
          • Event
          • Experiment
          • Monte Carlo Simulation
          • Relative Frequency
          • Sample Point
          • Sample Space
          • Weighted Average
          • Additive Law
          • Cardinality
          • Independence
          • Partition
          • Probability of complementary events
          • Probability of intersection events
        • Probability
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        • Normal Distribution Tables
        • Provided Distributions
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    Notes

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    Course Information

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    Course Description

    Course Description

    Dec 11, 20241 min read

    Problems will be approached in 2 ways:

    1. Using computers to model uncertainty
      • Using random number generators
      • Creating replicas
    2. Probability Theory
      • Precise statements describing events
      • Probability Distribution for random variables

    Example: Weather Forecasting

    Example: The Birthday Problem


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