REVIEW 4.2 Binomial Distribution

Front

What does the n stand for in the binomial probability formula?

Back

Number of trials.

Front

What is a continuous random variable?

Back

A variable that can take any value within a given range, such as the time it takes a randomly selected student to complete an exam.

Front

What is the probability that at least 2 of the first 10 blood donors has Type B blood if 11% of the U.S. population has Type B blood?

Back

0.303.

Front

What value is used to approximate the standard deviation of a binomial distribution when using a normal distribution?

Back

√(npq).

Front

What value is used to approximate the mean of a binomial distribution when using a normal distribution?

Back

np.

Front

Define binomial distribution.

Back

A probability distribution that summarizes the likelihood that a value will take one of two independent outcomes under a given set of parameters.

Front

What are the parameters of a binomial distribution?

Back

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

Front

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

Back

P(X = k) = (n choose k) * p^k * (1-p)^(n-k).

Front

What does 'p' represent in the binomial distribution?

Back

The probability of success on a single trial.

Front

What does 'q' represent in the binomial distribution?

Back

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