Finding Normal Probabilities

Front

What is the mean (μ) in a normal distribution?

Back

The mean (μ) is the average value of a set of data points in a normal distribution, representing the center of the distribution.

Front

What is the standard deviation (σ) in a normal distribution?

Back

The standard deviation (σ) measures the dispersion or spread of data points around the mean in a normal distribution.

Front

What shape is a normal distribution curve?

Back

Bell curve.

Front

What is a z-score?

Back

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

Front

How do you find the probability of a value greater than a certain number in a normal distribution?

Back

Use the z-score formula to convert the value to a z-score, then refer to the standard normal distribution table.

Front

What does P(X > a) represent in probability?

Back

P(X > a) represents the probability that the random variable X is greater than a specific value a.

Front

How do you calculate the area under the normal curve?

Back

The area under the normal curve can be calculated using z-scores and standard normal distribution tables.

Front

What is the area under the normal curve equal to?

Back

The total area under the normal curve is equal to 1.

Front

What is the probability of a value falling within one standard deviation of the mean in a normal distribution?

Back

Approximately 68% of values fall within one standard deviation of the mean.

Front

What is the probability of a value falling within two standard deviations of the mean in a normal distribution?

Back

Approximately 95% of values fall within two standard deviations of the mean.