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3 cards from this section. Quick, good the night before a test.
What does the non-negativity property mean?
Think about if you can have a negative chance of an event happening.
Why is normalization important in PMFs?
Recall PMF like a cup; it must be full!
What is the property that ensures probabilities are not negative in a PMF?
This property safeguards the logical foundation of probability.
Is a PMF valid if the total probabilities sum to more than 1?
Revisit the 'full cup of probability' analogy.
Consider a scenario where a random variable X represents the number of correct answers from a multiple-choice exam with 3 questions (each question has 4 choices). Construct a PMF for X.
Identify the variable outcomes and apply the binomial distribution.
Why might we prefer using a PMF over a PDF when analyzing data involving customer choices (like size selections: small, medium, large)?
Think about the nature of customer choices and their specific outcomes.
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