T6.2 Binomial Distributions (QZ)

Front

What is a Binomial Distribution?

Back

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 the number of trials (n) and the probability of success (p).

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What are the two parameters of a Binomial Distribution?

Back

The two parameters are n (number of trials) and p (probability of success).

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

Back

The number of trials.

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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 'r' represent in the binomial probability formula?

Back

The number of successes in n trials.

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

Back

P(X = r) = (nCr) * (p^r) * (1-p)^(n-r), where nCr is the binomial coefficient.

Front

If a coin is tossed 10 times, what is the probability of getting exactly 6 heads?

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20.51%.

Front

If 33% of adults have never read a book since graduating high school, how many out of 500 adults would you expect to have read a book?

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335 adults.

Front

What is the probability that Barry Bonds will get a hit 6 times in 10 at bats if his batting average is .298?

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3.58%.

Front

Can the example of selecting 10 random days from weather data be modeled by a Binomial distribution?

Back

Yes.