Therefore, the 10th percentile of the standard normal distribution is -1.28. We look to the leftmost of the row and up to the top of the column to find the corresponding z-value. Thus, a negative Z table displays Z values less. We search the body of the tables and find that the closest value to 0.1000 is 0.1003. A negative z-score has a value that is below or to the left of the mean of the standard normal distribution. Since the entries in the Standard Normal Cumulative Probability Table represent the probabilities and they are four-decimal-place numbers, we shall write 0.1 as 0.1000 to remind ourselves that it corresponds to the inside entry of the table. The question is asking for a value to the left of which has an area of 0.1 under the standard normal curve. \(P(2 < Z < 3)= P(Z < 3) - P(Z \le 2)= 0.9987 - 0.9772= 0.0215\). The standard normal distribution, also called the z-distribution, is a special normal distribution where the mean is 0 and the standard deviation is 1. To find the probability between these two values, subtract the probability of less than 2 from the probability of less than 3.
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