To determine the requirements necessary for a normal probability distribution to be a standard normal probability distribution, let's consider the properties and characteristics that define a standard normal distribution.
1. Mean (µ): The mean of a standard normal distribution should be 0. The mean is the central point of the distribution where the data is centered around.
2. Standard Deviation (σ or o): The standard deviation of a standard normal distribution should be 1. The standard deviation measures the dispersion or spread of the distribution around the mean.
We need to combine these two key characteristics to identify the correct answer.
- Option A: The mean and standard deviation have the values of µ = 1 and o = 1.
- This is incorrect, because the mean should be 0.
- Option B: The mean and standard deviation have the values of µ = 0 and σ = 1.
- This is correct because the mean is 0 and the standard deviation is 1.
- Option C: The mean and standard deviation have the values of µ = 1 and σ = 0.
- This is incorrect because the mean should be 0 and the standard deviation cannot be 0.
- Option D: The mean and standard deviation have the values of µ = 0 and o = 0.
- This is incorrect because the standard deviation cannot be 0.
Therefore, the correct answer is:
B. The mean and standard deviation have the values of µ = 0 and σ = 1.
