AP Stat Ch. 15 & 16 Review

Front

What is the probability of getting a specific number of successes in a fixed number of trials with a constant probability of success?

Back

This is modeled by the Binomial Distribution.

Front

Define a geometric random variable.

Back

A geometric random variable counts the number of trials until the first success occurs.

Front

What is a z-score?

Back

A z-score indicates how many standard deviations an element is from the mean.

Front

How do you calculate the z-score?

Back

z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What is the mean of a set of values?

Back

The mean is the average of a set of numbers, calculated by summing all values and dividing by the count.

Front

What is the standard deviation?

Back

Standard deviation measures the amount of variation or dispersion in a set of values.

Front

What is the Central Limit Theorem?

Back

The Central Limit Theorem states that the distribution of sample means approaches a normal distribution as the sample size increases.

Front

What is a normal distribution?

Back

A normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence.

Front

What does it mean for trials to be independent in probability?

Back

Independent trials mean the outcome of one trial does not affect the outcome of another.

Front

What is the formula for the mean of a combined group of different populations?

Back

Mean = (n1*μ1 + n2*μ2) / (n1 + n2), where n is the number of items in each group and μ is the mean of each group.