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• be able to use tables of the normal distribution to solve problems; • be able to use the normal distribution as an approximation to other distributions in appropriate circumstances.
Normal Distribution/Empirical Rule/Z-Scores Word Problems 1. The average playing time of CDs in a large collection is 35 minutes, and the standard deviation is 5 minutes. a. What value is 1 standard deviation above the mean? 1 standard deviation below the mean? What values are 2 standard deviations from the mean? b.
Word Problem #1 (Normal Distribution) Suppose that the distribution of diastolic blood pressure in a population of hypertensive women is modeled well by a normal probability distribution with mean 100 mm Hg and standard deviation 14 mm Hg. Let X be the random variable representing this distribution.
Normal distribution. The normal distribution is the most widely known and used of all distributions. Because the normal distribution approximates many natural phenomena so well, it has developed into a standard of reference for many probability problems. I. Characteristics of the Normal distribution. Symmetric, bell shaped.
5 Νοε 2020 · 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. Any normal distribution can be standardized by converting its values into z scores.
Standard Normal Distribution. Def. The standard normal distribution is a normal probability distribution with μ = 0 and σ = 1 . Important Notes. The z-score is used on the horizontal axis. The area of the region under the curve is equal to the associated probability of occurrence. Two Ways to Find Area. 1. Use Table A-2. 2.
Introduction. The density of the normal distribution (the height for a given value on the x-axis) is shown below. The parameters μ and σ are the mean and standard deviation, respectively, and define the normal distribution. The symbol e is the base of the natural logarithm and π is the constant pi. 1 ( ) History. 2.
