Statistics Standard 13 Checkpoint

Front

What is the formula to approximate the mean of a binomial distribution using a normal distribution?

Back

The mean is approximated using the formula np, where n is the number of trials and p is the probability of success.

Front

Under what conditions is a normal distribution a good approximation for a binomial distribution?

Back

A normal distribution is a good approximation for a binomial distribution when both np and nq are greater than or equal to 5.

Front

What does 'n' represent in the context of a binomial distribution?

Back

In a binomial distribution, 'n' represents the number of trials or experiments.

Front

What does 'p' represent in the context of a binomial distribution?

Back

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

Front

What does 'q' represent in the context of a binomial distribution?

Back

In a binomial distribution, 'q' represents the probability of failure on a single trial, where q = 1 - p.

Front

How do you calculate the standard deviation of a binomial distribution?

Back

The standard deviation is calculated using the formula √(npq), where n is the number of trials, p is the probability of success, and q is the probability of failure.

Front

What is the normal approximation to the binomial distribution?

Back

The normal approximation to the binomial distribution is used when n is large, and it approximates the binomial distribution with a normal distribution.

Front

What is the continuity correction in the context of normal approximation?

Back

The continuity correction is an adjustment made when using a normal distribution to approximate a discrete distribution, typically adding or subtracting 0.5.

Front

How do you find the probability of exactly k successes in a binomial distribution using normal approximation?

Back

To find the probability of exactly k successes, use the normal approximation and apply the continuity correction, then calculate the area under the normal curve.

Front

What is the probability of getting fewer than k successes in a binomial distribution?

Back

To find the probability of getting fewer than k successes, use the normal approximation with continuity correction and calculate the cumulative area under the normal curve.