Math 4 Unit 6 Review - Probability Distributions

Front

What is a parameter in statistics?

Back

A parameter is a numerical value that summarizes a characteristic of a population, such as the mean or percentage.

Front

What is a statistic in statistics?

Back

A statistic is a numerical value that summarizes a characteristic of a sample, such as the sample mean or sample proportion.

Front

Define z-score.

Back

A z-score indicates how many standard deviations an element is from the mean. It is calculated as (X - μ) / σ.

Front

How do you calculate the z-score for a given value?

Back

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

Front

What does a negative z-score indicate?

Back

A negative z-score indicates that the value is below the mean.

Front

What is the Central Limit Theorem?

Back

The Central Limit Theorem states that the distribution of the sample means approaches a normal distribution as the sample size increases, regardless of the population's distribution.

Front

What is the formula for the mean of the sampling distribution (μx-bar)?

Back

μx-bar = μ, where μ is the population mean.

Front

What is the formula for the standard deviation of the sampling distribution (σx-bar)?

Back

σx-bar = σ / √n, where σ is the population standard deviation and n is the sample size.

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, ranging from 0 (impossible) to 1 (certain).

Front

How do you find the probability of a sample proportion?

Back

Use the normal approximation for the binomial distribution when n is large enough: P = (X/n), where X is the number of successes.