Binomial Distribution

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What is a Binomial Distribution?

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A Binomial Distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent states and is defined by two parameters: n (number of trials) and p (probability of success).

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CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

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What does 'n' represent in the binomial probability formula?

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In the binomial probability formula, 'n' represents the number of trials or experiments conducted.

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CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

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What does 'p' represent in the binomial probability formula?

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In the binomial probability formula, 'p' represents the probability of success on a single trial.

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CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

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What is the formula for calculating the probability of exactly k successes in n trials?

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What is the binomial coefficient C(n, k)?

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What is the expected value (mean) of a binomial distribution?

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CCSS.HSS.MD.A.2

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What is the variance of a binomial distribution?

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How do you calculate the probability of at least k successes?

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What is the probability of getting exactly 2 successes in 20 trials with a success probability of 0.11?

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What is the probability of getting exactly 3 correct answers when guessing on a 6-question multiple choice test with 4 options?

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