Question

Find the value of the standard normal random variable z₀ such that:

A) z₀ = 0
B) z₀ = 1
C) z₀ = -1
D) z₀ = 2

Answer 1

The value of the standard normal random variable z₀ can be found using z-scores, which indicate the number of standard deviations a value is above or below the mean of the standard normal distribution.

Step-by-step explanation:

The value of the standard normal random variable z₀ such that:

1. A) z₀ = 0: The z-score for this value is 0, which means it is at the mean of the standard normal distribution.
2. B) z₀ = 1: The z-score for this value is 1, which means it is 1 standard deviation above the mean.
3. C) z₀ = -1: The z-score for this value is -1, which means it is 1 standard deviation below the mean.
4. D) z₀ = 2: The z-score for this value is 2, which means it is 2 standard deviations above the mean.