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5.1: Prelude to Discrete Random Variables
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Random Variable (RV) a characteristic of interest in a population being studied
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5.2: Probability Distribution Function (PDF) for a Discrete Random Variable
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A discrete probability distribution function has two characteristics: Each probability is between zero and one, inclusive. The sum of the probabilities is one.
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5.3: Mean or Expected Value and Standard Deviation
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The expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term average” is known as the mean or expected value of the experiment and is denoted by the Greek letter μ . In other words, after conducting many trials of an experiment, you would expect this average value.
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5.4: Binomial Distribution
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A statistical experiment can be classified as a binomial experiment if the following conditions are met: (1) There are a fixed number of trials. (2)There are only two possible outcomes: "success" or "failure" for each trial. (3) The trials are independent and are repeated using identical conditions. The outcomes of a binomial experiment fit a binomial probability distribution.
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5.5: Discrete Distribution (Playing Card Experiment)
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A statistics Worksheet: The student will compare empirical data and a theoretical distribution to determine if an everyday experiment fits a discrete distribution. The student will demonstrate an understanding of long-term probabilities.
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5.6: Discrete Distribution (Lucky Dice Experiment)
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A statistics Worksheet: The student will compare empirical data and a theoretical distribution to determine if a gambling game fits a discrete distribution. The student will demonstrate an understanding of long-term probabilities.
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5.7: Discrete Random Variables (Exercises)
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These are homework exercises to accompany the Textmap created for "Introductory Statistics" by OpenStax.
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