sta 2023
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STA 2023. Section 4.2 Binomial Distributions. Binomial Experiments. Example 1: Determine if the following probability experiment is a binomial experiment are not. - PowerPoint PPT PresentationTRANSCRIPT
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STA 2023Section 4.2Binomial Distributions
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Binomial Experiments
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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.
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Binomial Probability Formula
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On the calculator
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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
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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.
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Mean, Variance, and Standard Deviation