Normalcdf and InvNorm

Front

What is the Normal distribution?

Back

A Normal distribution is a continuous probability distribution characterized by a symmetric bell-shaped curve, defined by its mean (μ) and standard deviation (σ).

Front

What does the z-score represent in a Normal distribution?

Back

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

Front

What is the purpose of the Normalcdf function?

Back

The Normalcdf function calculates the cumulative probability for a given range of z-scores in a Normal distribution.

Front

What is the purpose of the InvNorm function?

Back

The InvNorm function finds the z-score that corresponds to a given cumulative probability in a Normal distribution.

Front

How do you calculate the area under the Normal curve between two z-scores?

Back

Use the Normalcdf function with the two z-scores as inputs to find the area between them.

Front

What is the area under the Normal curve to the left of a z-score?

Back

The area to the left of a z-score can be found using the Normalcdf function with negative infinity as the lower limit and the z-score as the upper limit.

Front

What is the area under the Normal curve to the right of a z-score?

Back

The area to the right of a z-score can be calculated using the Normalcdf function with the z-score as the lower limit and positive infinity as the upper limit.

Front

If z = 0, what is the area under the Normal curve to the left?

Back

The area to the left of z = 0 is 0.5, as it represents half of the total area under the curve.

Front

What is the significance of the total area under the Normal curve?

Back

The total area under the Normal curve is equal to 1, representing the total probability of all outcomes.

Front

How do you interpret a z-score of 1.5?

Back

A z-score of 1.5 indicates that the value is 1.5 standard deviations above the mean.