Question

question 22 points 1

a random variable whose probability histogram is \\(n(0, 1)\\) curve is called ______.

• standard deviation
• standard normal random variable

Explanation:

Identify the given distribution parameters

Using the Normal Distribution Properties knowledge point
The problem describes a random variable whose probability distribution is represented by the \(N(0, 1)\) curve. The notation \(N(\mu, \sigma^2)\) represents a normal distribution with a mean of \(\mu\) and a variance of \(\sigma^2\). Here, \(\mu = 0\) and \(\sigma^2 = 1\).

Define the standard normal random variable

A normal distribution with a mean of \(0\) and a standard deviation (or variance) of \(1\) is specifically defined as the standard normal distribution. Therefore, a random variable following this distribution is called a standard normal random variable.

Answer:

• standard deviation
• standard normal random variable (Correct answer)