Binomial Probability

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What is Binomial Probability?

Back

Binomial Probability refers to the probability of obtaining a fixed number of successes in a fixed number of independent Bernoulli trials, each with the same probability of success.

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CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Front

What is the formula for Binomial Probability?

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P(X = k) = (nCk) * (p^k) * (q^(n-k)), where n = number of trials, k = number of successes, p = probability of success, q = probability of failure.

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CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Front

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

Back

The total number of trials.

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CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Front

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

Back

The number of successes.

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

Back

The probability of success on a single trial.

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

Back

The probability of failure on a single trial, where q = 1 - p.

Front

Is the sum rolled on a pair of dice discrete or continuous?

Back

Discrete.

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If Barry Bonds has a batting average of 0.298, what is the probability he gets on base 6 times in 10 at bats?

Back

0.0358.

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CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

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In a survey, 25% of pet owners had their pets bathed professionally. What is the probability that exactly 5 out of 18 pet owners had their pets bathed professionally?

Back

0.199.

Front

What is the expected value in a binomial distribution?

Back

The expected value (mean) is calculated as E(X) = n * p.

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CCSS.HSS.MD.A.2