What is the mean of the standard normal distribution? What is the standard deviation of the standard normal distribution? Choose the correct answer below. A. The mean and standard deviation have the values of \( \mu=0 \) and \( \sigma=1 \). B. The mean and standard deviation have the values of \( \mu=1 \) and \( \sigma=0 \). C. The mean and standard deviation have the values of \( \mu=0 \) and \( \sigma=0 \). D. The mean and standard deviation have the values of \( \mu=1 \) and \( \sigma=1 \).

The correct answer is A. The mean and standard deviation have the values of \( \mu=0 \) and \( \sigma=1 \). The standard normal distribution is a special case of the normal distribution, which is centered around zero and has a standard deviation of one, making it a convenient reference point for understanding other normal distributions. To give you an idea of its application in the real world, the standard normal distribution is used extensively in statistics to determine probabilities and percentiles. For instance, if you're analyzing test scores, you can convert raw scores into z-scores (standard scores) using this distribution, allowing you to see how a student's performance compares to that of the overall population.