Final answer:
The correct answer is b. 0 and 1; the standard normal distribution is characterized by a mean of 0 and a standard deviation of 1.
Step-by-step explanation:
A standard normal distribution is defined as a normal distribution with a mean of 0 and a standard deviation of 1. This distribution is denoted as Z ~ N(0, 1). The values in a dataset can be standardized to z-scores, indicating how many standard deviations an element is from the mean.
To find the kth percentile of X when the z-score is known, one can use the equation k = μ + (z)σ. Z-scores provide a way to compare scores from different samples.
The correct answer to the question 'A standard normal distribution has a mean of _____ and a standard deviation of _____' is: b. 0 and 1.