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STA 2023

STA 2023 . Section 4.2 Binomial Distributions. Binomial Experiments. Example 1: Determine if the following probability experiment is a binomial experiment are not.

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STA 2023

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  1. STA 2023 Section 4.2 Binomial Distributions

  2. Binomial Experiments

  3. Example 1: Determine if the following probability experiment is a binomial experiment are not. • An experiment in which a basketball player who historically makes 80% of his free throws is asked to shoot three free throws, and the number of made free throws is recorded. • Yes • A probability experiment in which three cards are drawn from a deck without replacement and the number of aces is recorded. • No.

  4. Binomial Probability Formula

  5. On the calculator

  6. Example 4: A survey indicates that 21% of men in the U.S. consider fishing their favorite leisure-time activity. You randomly select six U.S. men and ask them if fishing is their favorite leisure-time activity. Find the following probabilities. • Exactly two respond yes. • Answer: .258 • At least two of them respond yes. • Answer: .369 • Fewer than two of the respond yes. • Answer: .631

  7. Constructing a Binomial Distribution • A binomial distribution is a special type of a discrete probability distribution. We construct the binomial distribution the same way we construct any discrete probability distribution. • Example 5: Twenty-six percent of people in the United States with Internet access go online to get news. A random sample of five Americans with Internet access is selected and asked if they get the news online. Construct the binomial distribution for this situation.

  8. Mean, Variance, and Standard Deviation

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