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Welcome! In this video, Ill be showing how to use the standard normal tables to calculate the probabilities in a normal distribution. A normal distribution is a symmetric, bell-shaped distribution where the area under the normal curve is 1 or 100%. The standard normal distribution, or what is also called the z distribution, is a special normal distribution with a mean () of 0 and a standard deviation () of1. The formula for transforming a score or observation x from any normal distribution to a standard normal score is z=(x-)/ The standard normal score (also known as the z-score or z-value) is the number of standard deviations a score x is from the mean. The standard normal tables we will be using are the Less Than cumulative tables. They usually have the left tail of the distribution shaded, and also have positive and negative parts. Lets look at an example. Scores on an exam are normally distributed with a mean of 65 and a standard deviation of 9. We want to find the percent