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✍️ Free Response Questions (FRQs)
👆 Unit 1 - Exploring One-Variable Data
✌️ Unit 2 - Exploring Two-Variable Data
🔎 Unit 3 - Collecting Data
🎲 Unit 4 - Probability, Random Variables, and Probability Distributions
📊 Unit 5 - Sampling Distributions
⚖️ Unit 6 - Inference for Categorical Data: Proportions
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Best Quizlet Decks for AP Statistics
- Unit 1 Key Terms (15-23%): Exploring One-Variable Data
- Unit 2 Key Terms (5-7%): Exploring Two-Variable Data
- Unit 3 Key Terms (12-15%): Collecting Data
- Unit 4 Key Terms (10-20%): Probability, Random Variables, and Probability Distributions
- Unit 5 Key Terms (7-12%): Sampling Distributions
- Unit 6 Key Terms (12-15%): Inference for Categorical Data: Proportions
- Unit 7 Key Terms (10-18%): Inference for Quantitative Data: Means
- Unit 8 Key Terms (2-5%): Inference for Categorical Data: Chi-Squared
- Unit 9 Key Terms (2-5%): Inference for Quantitative Data: Slopes
- Closing Thoughts
4.10 Introduction to the Binomial Distribution
#statisticalinference
⏱️ 1 min read
written by
kanya shah
June 3, 2020
Binomial Basics
You need to know how to find probabilities of binomial variables using simulation data or your calculator. Using random number generators is crucial.
A binomial setting arises when we perform n independent trials of the same chance process and count the number of times that a particular outcome called a success, occurs. Failure is defined as 1 minus the probability of success.
The count of successes in a binomial setting is a binomial random variable. The probability distribution of X is a binomial distribution. The possible values of X are 0, 1, 2, 3, …,n. Any binomial distribution is completely specified by two numbers: the number of trials of the chance process and the probability p of success on each trial.
Binomial coefficients: The number of ways to arrange k successes in n trials is given by the binomial coefficient or n over k without a fraction bar.
To find binomial variable probability, use the following formula or use the calculator function of binomCDF/PDF.
Courtesy of Reddit
BinomialCDF is for cumulative distribution frequency or when you want to include the boundary and every value that came before it. BinomialPDF is for point distribution frequency or when you’re looking for strictly one value.
🎥Watch: AP Stats - Probability: Random Variables, Binomial/Geometric Distributions
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