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A standard normal distribution has the following characteristics O the mean and the variance are both equal to 1 O the mean and the variance are both equal to 0 O the mean is equal to the variance the mean is equal to 0 and the variance is equal to 1 the mean is equal to the standard

Sagot :

A standard normal distribution's characteristics are its mean is equal to 0 and the standard deviation is 1. Thus, the variance is equal to 1.

What is a standard normal distribution?

A normal distribution that has a mean value of 0 and a standard deviation or a variance of 1 is said to be a standard normal distribution.

I.e., μ = 0 and σ² = 1

This is also called z-distribution.

Calculation:

A standard normal distribution has μ = 0 and σ² = 1.

So, the probability of a normal random variable is calculated by using a z-score.

The z-score value is calculated by the formula

z = (X - μ)/σ

Where mean (μ) and standard deviation (σ) for the variable X

By using the standard normal distribution tables with the z-score and probabilities, the required values are calculated.

So, we can conclude that the major characteristics of a standard normal distribution are mean = 0 and variance = 1.

Learn more about standard normal distribution here:

https://brainly.com/question/26822684

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